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Finding the Fourth Proportional to 138,474.77, 207,701.39 and 85,173.82

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Solution

The fourth proportional to 138,474.77, 207,701.39 and 85,173.82 is: 127,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,474.77 : 207,701.39 = 85,173.82 : x
  2. Step 2: Convert to fraction form
    138,474.77/207,701.39 = 85,173.82/x
  3. Step 3: Cross multiply
    138,474.77x = 207,701.39 × 85,173.82
  4. Step 4: Simplify right side
    138,474.77x = 17,690,720,499.29
  5. Step 5: Solve for x
    x = 17,690,720,499.29/138,474.77
  6. Step 6: Final answer
    x = 127,754.11

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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.