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Finding the Fourth Proportional to 220,142.70, 329,776.65 and 120,123.90

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Solution

The fourth proportional to 220,142.70, 329,776.65 and 120,123.90 is: 179,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,142.70 : 329,776.65 = 120,123.90 : x
  2. Step 2: Convert to fraction form
    220,142.70/329,776.65 = 120,123.90/x
  3. Step 3: Cross multiply
    220,142.70x = 329,776.65 × 120,123.90
  4. Step 4: Simplify right side
    220,142.70x = 39,614,057,326.94
  5. Step 5: Solve for x
    x = 39,614,057,326.94/220,142.70
  6. Step 6: Final answer
    x = 179,947.18

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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.