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Finding the Fourth Proportional to 123,772.80, 185,659.20 and 30,278.55

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Solution

The fourth proportional to 123,772.80, 185,659.20 and 30,278.55 is: 45,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,772.80 : 185,659.20 = 30,278.55 : x
  2. Step 2: Convert to fraction form
    123,772.80/185,659.20 = 30,278.55/x
  3. Step 3: Cross multiply
    123,772.80x = 185,659.20 × 30,278.55
  4. Step 4: Simplify right side
    123,772.80x = 5,621,491,370.16
  5. Step 5: Solve for x
    x = 5,621,491,370.16/123,772.80
  6. Step 6: Final answer
    x = 45,417.83

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1.5x scale

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.