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Finding the Fourth Proportional to 71,713.86, 98,967.52 and 39,449.84

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Solution

The fourth proportional to 71,713.86, 98,967.52 and 39,449.84 is: 54,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,713.86 : 98,967.52 = 39,449.84 : x
  2. Step 2: Convert to fraction form
    71,713.86/98,967.52 = 39,449.84/x
  3. Step 3: Cross multiply
    71,713.86x = 98,967.52 × 39,449.84
  4. Step 4: Simplify right side
    71,713.86x = 3,904,252,829.20
  5. Step 5: Solve for x
    x = 3,904,252,829.20/71,713.86
  6. Step 6: Final answer
    x = 54,442.10

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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.