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Finding the Fourth Proportional to 123,885.87, 185,817.87 and 45,000.78

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Solution

The fourth proportional to 123,885.87, 185,817.87 and 45,000.78 is: 67,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,885.87 : 185,817.87 = 45,000.78 : x
  2. Step 2: Convert to fraction form
    123,885.87/185,817.87 = 45,000.78/x
  3. Step 3: Cross multiply
    123,885.87x = 185,817.87 × 45,000.78
  4. Step 4: Simplify right side
    123,885.87x = 8,361,949,087.94
  5. Step 5: Solve for x
    x = 8,361,949,087.94/123,885.87
  6. Step 6: Final answer
    x = 67,497.20

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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.