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Finding the Fourth Proportional to 138,874.48, 191,658.58 and 78,456.21

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Solution

The fourth proportional to 138,874.48, 191,658.58 and 78,456.21 is: 108,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.48 : 191,658.58 = 78,456.21 : x
  2. Step 2: Convert to fraction form
    138,874.48/191,658.58 = 78,456.21/x
  3. Step 3: Cross multiply
    138,874.48x = 191,658.58 × 78,456.21
  4. Step 4: Simplify right side
    138,874.48x = 15,036,804,885.92
  5. Step 5: Solve for x
    x = 15,036,804,885.92/138,874.48
  6. Step 6: Final answer
    x = 108,276.23

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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.