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Finding the Fourth Proportional to 138,614.92, 191,288.74 and 74,952.76

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Solution

The fourth proportional to 138,614.92, 191,288.74 and 74,952.76 is: 103,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,614.92 : 191,288.74 = 74,952.76 : x
  2. Step 2: Convert to fraction form
    138,614.92/191,288.74 = 74,952.76/x
  3. Step 3: Cross multiply
    138,614.92x = 191,288.74 × 74,952.76
  4. Step 4: Simplify right side
    138,614.92x = 14,337,619,019.92
  5. Step 5: Solve for x
    x = 14,337,619,019.92/138,614.92
  6. Step 6: Final answer
    x = 103,434.89

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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.