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Finding the Fourth Proportional to 285,760.67, 428,340.90 and 96,155.21

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Solution

The fourth proportional to 285,760.67, 428,340.90 and 96,155.21 is: 144,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,760.67 : 428,340.90 = 96,155.21 : x
  2. Step 2: Convert to fraction form
    285,760.67/428,340.90 = 96,155.21/x
  3. Step 3: Cross multiply
    285,760.67x = 428,340.90 × 96,155.21
  4. Step 4: Simplify right side
    285,760.67x = 41,187,207,049.38
  5. Step 5: Solve for x
    x = 41,187,207,049.38/285,760.67
  6. Step 6: Final answer
    x = 144,131.83

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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.