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Finding the Fourth Proportional to 138,654.11, 207,981.18 and 45,159.86

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Solution

The fourth proportional to 138,654.11, 207,981.18 and 45,159.86 is: 67,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654.11 : 207,981.18 = 45,159.86 : x
  2. Step 2: Convert to fraction form
    138,654.11/207,981.18 = 45,159.86/x
  3. Step 3: Cross multiply
    138,654.11x = 207,981.18 × 45,159.86
  4. Step 4: Simplify right side
    138,654.11x = 9,392,401,491.39
  5. Step 5: Solve for x
    x = 9,392,401,491.39/138,654.11
  6. Step 6: Final answer
    x = 67,739.80

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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.