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Finding the Fourth Proportional to 123,711.89, 185,424.39 and 57,011.90

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Solution

The fourth proportional to 123,711.89, 185,424.39 and 57,011.90 is: 85,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,711.89 : 185,424.39 = 57,011.90 : x
  2. Step 2: Convert to fraction form
    123,711.89/185,424.39 = 57,011.90/x
  3. Step 3: Cross multiply
    123,711.89x = 185,424.39 × 57,011.90
  4. Step 4: Simplify right side
    123,711.89x = 10,571,395,853.12
  5. Step 5: Solve for x
    x = 10,571,395,853.12/123,711.89
  6. Step 6: Final answer
    x = 85,451.74

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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.