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Finding the Fourth Proportional to 189,073.62, 283,610.42 and 129,729.38

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Solution

The fourth proportional to 189,073.62, 283,610.42 and 129,729.38 is: 194,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,073.62 : 283,610.42 = 129,729.38 : x
  2. Step 2: Convert to fraction form
    189,073.62/283,610.42 = 129,729.38/x
  3. Step 3: Cross multiply
    189,073.62x = 283,610.42 × 129,729.38
  4. Step 4: Simplify right side
    189,073.62x = 36,792,603,948.14
  5. Step 5: Solve for x
    x = 36,792,603,948.14/189,073.62
  6. Step 6: Final answer
    x = 194,594.06

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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.