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Finding the Fourth Proportional to 138,924.53, 191,715.83 and 75,262.31

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Solution

The fourth proportional to 138,924.53, 191,715.83 and 75,262.31 is: 103,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.53 : 191,715.83 = 75,262.31 : x
  2. Step 2: Convert to fraction form
    138,924.53/191,715.83 = 75,262.31/x
  3. Step 3: Cross multiply
    138,924.53x = 191,715.83 × 75,262.31
  4. Step 4: Simplify right side
    138,924.53x = 14,428,976,229.37
  5. Step 5: Solve for x
    x = 14,428,976,229.37/138,924.53
  6. Step 6: Final answer
    x = 103,861.98

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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.