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Finding the Fourth Proportional to 123,355.71, 185,052.87 and 52,278.48

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Solution

The fourth proportional to 123,355.71, 185,052.87 and 52,278.48 is: 78,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,355.71 : 185,052.87 = 52,278.48 : x
  2. Step 2: Convert to fraction form
    123,355.71/185,052.87 = 52,278.48/x
  3. Step 3: Cross multiply
    123,355.71x = 185,052.87 × 52,278.48
  4. Step 4: Simplify right side
    123,355.71x = 9,674,282,763.24
  5. Step 5: Solve for x
    x = 9,674,282,763.24/123,355.71
  6. Step 6: Final answer
    x = 78,425.90

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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.