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Finding the Fourth Proportional to 138,326.58, 207,493.92 and 54,083.34

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Solution

The fourth proportional to 138,326.58, 207,493.92 and 54,083.34 is: 81,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,326.58 : 207,493.92 = 54,083.34 : x
  2. Step 2: Convert to fraction form
    138,326.58/207,493.92 = 54,083.34/x
  3. Step 3: Cross multiply
    138,326.58x = 207,493.92 × 54,083.34
  4. Step 4: Simplify right side
    138,326.58x = 11,221,964,223.29
  5. Step 5: Solve for x
    x = 11,221,964,223.29/138,326.58
  6. Step 6: Final answer
    x = 81,126.59

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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.