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Finding the Fourth Proportional to 231,086.87, 318,868.14 and 129,099.67

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Solution

The fourth proportional to 231,086.87, 318,868.14 and 129,099.67 is: 178,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,086.87 : 318,868.14 = 129,099.67 : x
  2. Step 2: Convert to fraction form
    231,086.87/318,868.14 = 129,099.67/x
  3. Step 3: Cross multiply
    231,086.87x = 318,868.14 × 129,099.67
  4. Step 4: Simplify right side
    231,086.87x = 41,165,773,128.10
  5. Step 5: Solve for x
    x = 41,165,773,128.10/231,086.87
  6. Step 6: Final answer
    x = 178,139.82

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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.