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Finding the Fourth Proportional to 138,896.52, 191,663.50 and 77,631.40

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Solution

The fourth proportional to 138,896.52, 191,663.50 and 77,631.40 is: 107,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,896.52 : 191,663.50 = 77,631.40 : x
  2. Step 2: Convert to fraction form
    138,896.52/191,663.50 = 77,631.40/x
  3. Step 3: Cross multiply
    138,896.52x = 191,663.50 × 77,631.40
  4. Step 4: Simplify right side
    138,896.52x = 14,879,105,833.90
  5. Step 5: Solve for x
    x = 14,879,105,833.90/138,896.52
  6. Step 6: Final answer
    x = 107,123.68

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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.