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Finding the Fourth Proportional to 83,654.14, 124,879.47 and 71,678.96

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Solution

The fourth proportional to 83,654.14, 124,879.47 and 71,678.96 is: 107,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,654.14 : 124,879.47 = 71,678.96 : x
  2. Step 2: Convert to fraction form
    83,654.14/124,879.47 = 71,678.96/x
  3. Step 3: Cross multiply
    83,654.14x = 124,879.47 × 71,678.96
  4. Step 4: Simplify right side
    83,654.14x = 8,951,230,176.56
  5. Step 5: Solve for x
    x = 8,951,230,176.56/83,654.14
  6. Step 6: Final answer
    x = 107,002.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.