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Finding the Fourth Proportional to 65,460.48, 98,190.72 and 30,381

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Solution

The fourth proportional to 65,460.48, 98,190.72 and 30,381 is: 45,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,460.48 : 98,190.72 = 30,381 : x
  2. Step 2: Convert to fraction form
    65,460.48/98,190.72 = 30,381/x
  3. Step 3: Cross multiply
    65,460.48x = 98,190.72 × 30,381
  4. Step 4: Simplify right side
    65,460.48x = 2,983,132,264.32
  5. Step 5: Solve for x
    x = 2,983,132,264.32/65,460.48
  6. Step 6: Final answer
    x = 45,571.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.