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Finding the Fourth Proportional to 123,819.62, 185,756.10 and 38,428.74

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Solution

The fourth proportional to 123,819.62, 185,756.10 and 38,428.74 is: 57,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,819.62 : 185,756.10 = 38,428.74 : x
  2. Step 2: Convert to fraction form
    123,819.62/185,756.10 = 38,428.74/x
  3. Step 3: Cross multiply
    123,819.62x = 185,756.10 × 38,428.74
  4. Step 4: Simplify right side
    123,819.62x = 7,138,372,870.31
  5. Step 5: Solve for x
    x = 7,138,372,870.31/123,819.62
  6. Step 6: Final answer
    x = 57,651.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.