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Finding the Fourth Proportional to 47,532.52, 71,287.98 and 21,223

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Solution

The fourth proportional to 47,532.52, 71,287.98 and 21,223 is: 31,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,532.52 : 71,287.98 = 21,223 : x
  2. Step 2: Convert to fraction form
    47,532.52/71,287.98 = 21,223/x
  3. Step 3: Cross multiply
    47,532.52x = 71,287.98 × 21,223
  4. Step 4: Simplify right side
    47,532.52x = 1,512,944,799.54
  5. Step 5: Solve for x
    x = 1,512,944,799.54/47,532.52
  6. Step 6: Final answer
    x = 31,829.68

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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.