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Finding the Fourth Proportional to 71,720.32, 98,971.80 and 39,454.78

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Solution

The fourth proportional to 71,720.32, 98,971.80 and 39,454.78 is: 54,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720.32 : 98,971.80 = 39,454.78 : x
  2. Step 2: Convert to fraction form
    71,720.32/98,971.80 = 39,454.78/x
  3. Step 3: Cross multiply
    71,720.32x = 98,971.80 × 39,454.78
  4. Step 4: Simplify right side
    71,720.32x = 3,904,910,595.20
  5. Step 5: Solve for x
    x = 3,904,910,595.20/71,720.32
  6. Step 6: Final answer
    x = 54,446.36

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1.5x scale

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.