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Finding the Fourth Proportional to 138,539.43, 207,734.63 and 71,814.15

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Solution

The fourth proportional to 138,539.43, 207,734.63 and 71,814.15 is: 107,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,539.43 : 207,734.63 = 71,814.15 : x
  2. Step 2: Convert to fraction form
    138,539.43/207,734.63 = 71,814.15/x
  3. Step 3: Cross multiply
    138,539.43x = 207,734.63 × 71,814.15
  4. Step 4: Simplify right side
    138,539.43x = 14,918,285,519.94
  5. Step 5: Solve for x
    x = 14,918,285,519.94/138,539.43
  6. Step 6: Final answer
    x = 107,682.60

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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.