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Finding the Fourth Proportional to 65,464.48, 98,196.72 and 30,385

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Solution

The fourth proportional to 65,464.48, 98,196.72 and 30,385 is: 45,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464.48 : 98,196.72 = 30,385 : x
  2. Step 2: Convert to fraction form
    65,464.48/98,196.72 = 30,385/x
  3. Step 3: Cross multiply
    65,464.48x = 98,196.72 × 30,385
  4. Step 4: Simplify right side
    65,464.48x = 2,983,707,337.20
  5. Step 5: Solve for x
    x = 2,983,707,337.20/65,464.48
  6. Step 6: Final answer
    x = 45,577.50

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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.