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Finding the Fourth Proportional to 99,342.99, 137,144.13 and 76,631

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Solution

The fourth proportional to 99,342.99, 137,144.13 and 76,631 is: 105,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,342.99 : 137,144.13 = 76,631 : x
  2. Step 2: Convert to fraction form
    99,342.99/137,144.13 = 76,631/x
  3. Step 3: Cross multiply
    99,342.99x = 137,144.13 × 76,631
  4. Step 4: Simplify right side
    99,342.99x = 10,509,491,826.03
  5. Step 5: Solve for x
    x = 10,509,491,826.03/99,342.99
  6. Step 6: Final answer
    x = 105,789.97

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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.