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Finding the Fourth Proportional to 99,819.68, 137,753.11 and 54,497.78

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Solution

The fourth proportional to 99,819.68, 137,753.11 and 54,497.78 is: 75,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,819.68 : 137,753.11 = 54,497.78 : x
  2. Step 2: Convert to fraction form
    99,819.68/137,753.11 = 54,497.78/x
  3. Step 3: Cross multiply
    99,819.68x = 137,753.11 × 54,497.78
  4. Step 4: Simplify right side
    99,819.68x = 7,507,238,855.29
  5. Step 5: Solve for x
    x = 7,507,238,855.29/99,819.68
  6. Step 6: Final answer
    x = 75,208.00

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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.