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Finding the Fourth Proportional to 138,415.73, 191,013.66 and 74,753.54

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Solution

The fourth proportional to 138,415.73, 191,013.66 and 74,753.54 is: 103,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.73 : 191,013.66 = 74,753.54 : x
  2. Step 2: Convert to fraction form
    138,415.73/191,013.66 = 74,753.54/x
  3. Step 3: Cross multiply
    138,415.73x = 191,013.66 × 74,753.54
  4. Step 4: Simplify right side
    138,415.73x = 14,278,947,273.36
  5. Step 5: Solve for x
    x = 14,278,947,273.36/138,415.73
  6. Step 6: Final answer
    x = 103,159.86

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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.