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Finding the Fourth Proportional to 138,519.30, 207,260.55 and 91,863.30

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Solution

The fourth proportional to 138,519.30, 207,260.55 and 91,863.30 is: 137,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,519.30 : 207,260.55 = 91,863.30 : x
  2. Step 2: Convert to fraction form
    138,519.30/207,260.55 = 91,863.30/x
  3. Step 3: Cross multiply
    138,519.30x = 207,260.55 × 91,863.30
  4. Step 4: Simplify right side
    138,519.30x = 19,039,638,082.82
  5. Step 5: Solve for x
    x = 19,039,638,082.82/138,519.30
  6. Step 6: Final answer
    x = 137,451.16

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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.