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Finding the Fourth Proportional to 138,397.41, 207,530.51 and 71,770.86

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Solution

The fourth proportional to 138,397.41, 207,530.51 and 71,770.86 is: 107,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,397.41 : 207,530.51 = 71,770.86 : x
  2. Step 2: Convert to fraction form
    138,397.41/207,530.51 = 71,770.86/x
  3. Step 3: Cross multiply
    138,397.41x = 207,530.51 × 71,770.86
  4. Step 4: Simplify right side
    138,397.41x = 14,894,642,820.08
  5. Step 5: Solve for x
    x = 14,894,642,820.08/138,397.41
  6. Step 6: Final answer
    x = 107,622.27

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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.