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Finding the Fourth Proportional to 65,349.82, 98,015.47 and 20,970.84

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Solution

The fourth proportional to 65,349.82, 98,015.47 and 20,970.84 is: 31,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349.82 : 98,015.47 = 20,970.84 : x
  2. Step 2: Convert to fraction form
    65,349.82/98,015.47 = 20,970.84/x
  3. Step 3: Cross multiply
    65,349.82x = 98,015.47 × 20,970.84
  4. Step 4: Simplify right side
    65,349.82x = 2,055,466,441.43
  5. Step 5: Solve for x
    x = 2,055,466,441.43/65,349.82
  6. Step 6: Final answer
    x = 31,453.28

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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.