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Finding the Fourth Proportional to 261,509.76, 391,927.41 and 126,542.10

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Solution

The fourth proportional to 261,509.76, 391,927.41 and 126,542.10 is: 189,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,509.76 : 391,927.41 = 126,542.10 : x
  2. Step 2: Convert to fraction form
    261,509.76/391,927.41 = 126,542.10/x
  3. Step 3: Cross multiply
    261,509.76x = 391,927.41 × 126,542.10
  4. Step 4: Simplify right side
    261,509.76x = 49,595,317,508.96
  5. Step 5: Solve for x
    x = 49,595,317,508.96/261,509.76
  6. Step 6: Final answer
    x = 189,649.97

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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.