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Finding the Fourth Proportional to 84,323.32, 126,491.52 and 31,731.64

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Solution

The fourth proportional to 84,323.32, 126,491.52 and 31,731.64 is: 47,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,323.32 : 126,491.52 = 31,731.64 : x
  2. Step 2: Convert to fraction form
    84,323.32/126,491.52 = 31,731.64/x
  3. Step 3: Cross multiply
    84,323.32x = 126,491.52 × 31,731.64
  4. Step 4: Simplify right side
    84,323.32x = 4,013,783,375.69
  5. Step 5: Solve for x
    x = 4,013,783,375.69/84,323.32
  6. Step 6: Final answer
    x = 47,599.92

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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.