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Finding the Fourth Proportional to 137,327, 189,514.20 and 77,711

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Solution

The fourth proportional to 137,327, 189,514.20 and 77,711 is: 107,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,327 : 189,514.20 = 77,711 : x
  2. Step 2: Convert to fraction form
    137,327/189,514.20 = 77,711/x
  3. Step 3: Cross multiply
    137,327x = 189,514.20 × 77,711
  4. Step 4: Simplify right side
    137,327x = 14,727,337,996.20
  5. Step 5: Solve for x
    x = 14,727,337,996.20/137,327
  6. Step 6: Final answer
    x = 107,242.84

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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.