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Finding the Fourth Proportional to 138,414.73, 191,012.28 and 74,752.54

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Solution

The fourth proportional to 138,414.73, 191,012.28 and 74,752.54 is: 103,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,414.73 : 191,012.28 = 74,752.54 : x
  2. Step 2: Convert to fraction form
    138,414.73/191,012.28 = 74,752.54/x
  3. Step 3: Cross multiply
    138,414.73x = 191,012.28 × 74,752.54
  4. Step 4: Simplify right side
    138,414.73x = 14,278,653,101.19
  5. Step 5: Solve for x
    x = 14,278,653,101.19/138,414.73
  6. Step 6: Final answer
    x = 103,158.48

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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.