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Finding the Fourth Proportional to 99,891.88, 137,857.17 and 57,449.50

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Solution

The fourth proportional to 99,891.88, 137,857.17 and 57,449.50 is: 79,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,891.88 : 137,857.17 = 57,449.50 : x
  2. Step 2: Convert to fraction form
    99,891.88/137,857.17 = 57,449.50/x
  3. Step 3: Cross multiply
    99,891.88x = 137,857.17 × 57,449.50
  4. Step 4: Simplify right side
    99,891.88x = 7,919,825,487.92
  5. Step 5: Solve for x
    x = 7,919,825,487.92/99,891.88
  6. Step 6: Final answer
    x = 79,283.98

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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.