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Finding the Fourth Proportional to 90,471.92, 135,668.28 and 37,127.30

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Solution

The fourth proportional to 90,471.92, 135,668.28 and 37,127.30 is: 55,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,471.92 : 135,668.28 = 37,127.30 : x
  2. Step 2: Convert to fraction form
    90,471.92/135,668.28 = 37,127.30/x
  3. Step 3: Cross multiply
    90,471.92x = 135,668.28 × 37,127.30
  4. Step 4: Simplify right side
    90,471.92x = 5,036,996,932.04
  5. Step 5: Solve for x
    x = 5,036,996,932.04/90,471.92
  6. Step 6: Final answer
    x = 55,674.70

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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.