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Finding the Fourth Proportional to 138,502.96, 191,456.80 and 123,543.88

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Solution

The fourth proportional to 138,502.96, 191,456.80 and 123,543.88 is: 170,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502.96 : 191,456.80 = 123,543.88 : x
  2. Step 2: Convert to fraction form
    138,502.96/191,456.80 = 123,543.88/x
  3. Step 3: Cross multiply
    138,502.96x = 191,456.80 × 123,543.88
  4. Step 4: Simplify right side
    138,502.96x = 23,653,315,924.38
  5. Step 5: Solve for x
    x = 23,653,315,924.38/138,502.96
  6. Step 6: Final answer
    x = 170,778.41

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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.