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Finding the Fourth Proportional to 143,770.85, 198,404.57 and 83,377.31

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Solution

The fourth proportional to 143,770.85, 198,404.57 and 83,377.31 is: 115,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,770.85 : 198,404.57 = 83,377.31 : x
  2. Step 2: Convert to fraction form
    143,770.85/198,404.57 = 83,377.31/x
  3. Step 3: Cross multiply
    143,770.85x = 198,404.57 × 83,377.31
  4. Step 4: Simplify right side
    143,770.85x = 16,542,437,929.40
  5. Step 5: Solve for x
    x = 16,542,437,929.40/143,770.85
  6. Step 6: Final answer
    x = 115,061.14

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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.