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Finding the Fourth Proportional to 84,747.52, 127,169.88 and 31,476.52

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Solution

The fourth proportional to 84,747.52, 127,169.88 and 31,476.52 is: 47,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,747.52 : 127,169.88 = 31,476.52 : x
  2. Step 2: Convert to fraction form
    84,747.52/127,169.88 = 31,476.52/x
  3. Step 3: Cross multiply
    84,747.52x = 127,169.88 × 31,476.52
  4. Step 4: Simplify right side
    84,747.52x = 4,002,865,271.22
  5. Step 5: Solve for x
    x = 4,002,865,271.22/84,747.52
  6. Step 6: Final answer
    x = 47,232.83

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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.