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Finding the Fourth Proportional to 71,614.68, 98,824.74 and 39,785.40

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Solution

The fourth proportional to 71,614.68, 98,824.74 and 39,785.40 is: 54,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,614.68 : 98,824.74 = 39,785.40 : x
  2. Step 2: Convert to fraction form
    71,614.68/98,824.74 = 39,785.40/x
  3. Step 3: Cross multiply
    71,614.68x = 98,824.74 × 39,785.40
  4. Step 4: Simplify right side
    71,614.68x = 3,931,781,810.80
  5. Step 5: Solve for x
    x = 3,931,781,810.80/71,614.68
  6. Step 6: Final answer
    x = 54,901.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.