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Finding the Fourth Proportional to 138,415.87, 191,013.90 and 74,753.68

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Solution

The fourth proportional to 138,415.87, 191,013.90 and 74,753.68 is: 103,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.87 : 191,013.90 = 74,753.68 : x
  2. Step 2: Convert to fraction form
    138,415.87/191,013.90 = 74,753.68/x
  3. Step 3: Cross multiply
    138,415.87x = 191,013.90 × 74,753.68
  4. Step 4: Simplify right side
    138,415.87x = 14,278,991,956.15
  5. Step 5: Solve for x
    x = 14,278,991,956.15/138,415.87
  6. Step 6: Final answer
    x = 103,160.08

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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.