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Finding the Fourth Proportional to 123,820.80, 185,731.20 and 30,326.55

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Solution

The fourth proportional to 123,820.80, 185,731.20 and 30,326.55 is: 45,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,820.80 : 185,731.20 = 30,326.55 : x
  2. Step 2: Convert to fraction form
    123,820.80/185,731.20 = 30,326.55/x
  3. Step 3: Cross multiply
    123,820.80x = 185,731.20 × 30,326.55
  4. Step 4: Simplify right side
    123,820.80x = 5,632,586,523.36
  5. Step 5: Solve for x
    x = 5,632,586,523.36/123,820.80
  6. Step 6: Final answer
    x = 45,489.83

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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.