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Finding the Fourth Proportional to 206,145.48, 284,474.82 and 120,123.48

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Solution

The fourth proportional to 206,145.48, 284,474.82 and 120,123.48 is: 165,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.48 : 284,474.82 = 120,123.48 : x
  2. Step 2: Convert to fraction form
    206,145.48/284,474.82 = 120,123.48/x
  3. Step 3: Cross multiply
    206,145.48x = 284,474.82 × 120,123.48
  4. Step 4: Simplify right side
    206,145.48x = 34,172,105,350.77
  5. Step 5: Solve for x
    x = 34,172,105,350.77/206,145.48
  6. Step 6: Final answer
    x = 165,766.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.