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Finding the Fourth Proportional to 261,846.38, 392,769.88 and 84,379.82

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Solution

The fourth proportional to 261,846.38, 392,769.88 and 84,379.82 is: 126,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,846.38 : 392,769.88 = 84,379.82 : x
  2. Step 2: Convert to fraction form
    261,846.38/392,769.88 = 84,379.82/x
  3. Step 3: Cross multiply
    261,846.38x = 392,769.88 × 84,379.82
  4. Step 4: Simplify right side
    261,846.38x = 33,141,851,775.82
  5. Step 5: Solve for x
    x = 33,141,851,775.82/261,846.38
  6. Step 6: Final answer
    x = 126,569.83

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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.