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Finding the Fourth Proportional to 342,142.60, 472,123.49 and 189,159.85

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Solution

The fourth proportional to 342,142.60, 472,123.49 and 189,159.85 is: 261,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.60 : 472,123.49 = 189,159.85 : x
  2. Step 2: Convert to fraction form
    342,142.60/472,123.49 = 189,159.85/x
  3. Step 3: Cross multiply
    342,142.60x = 472,123.49 × 189,159.85
  4. Step 4: Simplify right side
    342,142.60x = 89,306,807,723.27
  5. Step 5: Solve for x
    x = 89,306,807,723.27/342,142.60
  6. Step 6: Final answer
    x = 261,022.18

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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.