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Finding the Fourth Proportional to 100,382.92, 138,527.47 and 55,060

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Solution

The fourth proportional to 100,382.92, 138,527.47 and 55,060 is: 75,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.92 : 138,527.47 = 55,060 : x
  2. Step 2: Convert to fraction form
    100,382.92/138,527.47 = 55,060/x
  3. Step 3: Cross multiply
    100,382.92x = 138,527.47 × 55,060
  4. Step 4: Simplify right side
    100,382.92x = 7,627,322,498.20
  5. Step 5: Solve for x
    x = 7,627,322,498.20/100,382.92
  6. Step 6: Final answer
    x = 75,982.27

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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.