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Finding the Fourth Proportional to 138,398.80, 207,566.34 and 54,160.96

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Solution

The fourth proportional to 138,398.80, 207,566.34 and 54,160.96 is: 81,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,398.80 : 207,566.34 = 54,160.96 : x
  2. Step 2: Convert to fraction form
    138,398.80/207,566.34 = 54,160.96/x
  3. Step 3: Cross multiply
    138,398.80x = 207,566.34 × 54,160.96
  4. Step 4: Simplify right side
    138,398.80x = 11,241,992,238.09
  5. Step 5: Solve for x
    x = 11,241,992,238.09/138,398.80
  6. Step 6: Final answer
    x = 81,228.97

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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.