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Finding the Fourth Proportional to 71,712.86, 98,956.17 and 39,876.62

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Solution

The fourth proportional to 71,712.86, 98,956.17 and 39,876.62 is: 55,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,712.86 : 98,956.17 = 39,876.62 : x
  2. Step 2: Convert to fraction form
    71,712.86/98,956.17 = 39,876.62/x
  3. Step 3: Cross multiply
    71,712.86x = 98,956.17 × 39,876.62
  4. Step 4: Simplify right side
    71,712.86x = 3,946,037,587.75
  5. Step 5: Solve for x
    x = 3,946,037,587.75/71,712.86
  6. Step 6: Final answer
    x = 55,025.52

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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.