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Finding the Fourth Proportional to 261,510.76, 391,928.91 and 126,543.10

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Solution

The fourth proportional to 261,510.76, 391,928.91 and 126,543.10 is: 189,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,510.76 : 391,928.91 = 126,543.10 : x
  2. Step 2: Convert to fraction form
    261,510.76/391,928.91 = 126,543.10/x
  3. Step 3: Cross multiply
    261,510.76x = 391,928.91 × 126,543.10
  4. Step 4: Simplify right side
    261,510.76x = 49,595,899,251.02
  5. Step 5: Solve for x
    x = 49,595,899,251.02/261,510.76
  6. Step 6: Final answer
    x = 189,651.47

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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.