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Finding the Fourth Proportional to 122,309.85, 183,464.78 and 82,451.78

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Solution

The fourth proportional to 122,309.85, 183,464.78 and 82,451.78 is: 123,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,309.85 : 183,464.78 = 82,451.78 : x
  2. Step 2: Convert to fraction form
    122,309.85/183,464.78 = 82,451.78/x
  3. Step 3: Cross multiply
    122,309.85x = 183,464.78 × 82,451.78
  4. Step 4: Simplify right side
    122,309.85x = 15,126,996,348.73
  5. Step 5: Solve for x
    x = 15,126,996,348.73/122,309.85
  6. Step 6: Final answer
    x = 123,677.66

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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.