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Finding the Fourth Proportional to 138,042.88, 207,025.28 and 38,179.84

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Solution

The fourth proportional to 138,042.88, 207,025.28 and 38,179.84 is: 57,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,042.88 : 207,025.28 = 38,179.84 : x
  2. Step 2: Convert to fraction form
    138,042.88/207,025.28 = 38,179.84/x
  3. Step 3: Cross multiply
    138,042.88x = 207,025.28 × 38,179.84
  4. Step 4: Simplify right side
    138,042.88x = 7,904,192,066.36
  5. Step 5: Solve for x
    x = 7,904,192,066.36/138,042.88
  6. Step 6: Final answer
    x = 57,258.96

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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.