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Finding the Fourth Proportional to 84,105.47, 126,178.47 and 31,515.41

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Solution

The fourth proportional to 84,105.47, 126,178.47 and 31,515.41 is: 47,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,105.47 : 126,178.47 = 31,515.41 : x
  2. Step 2: Convert to fraction form
    84,105.47/126,178.47 = 31,515.41/x
  3. Step 3: Cross multiply
    84,105.47x = 126,178.47 × 31,515.41
  4. Step 4: Simplify right side
    84,105.47x = 3,976,565,584.33
  5. Step 5: Solve for x
    x = 3,976,565,584.33/84,105.47
  6. Step 6: Final answer
    x = 47,280.70

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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.