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Finding the Fourth Proportional to 47,609.78, 71,432.89 and 21,295.61

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Solution

The fourth proportional to 47,609.78, 71,432.89 and 21,295.61 is: 31,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,609.78 : 71,432.89 = 21,295.61 : x
  2. Step 2: Convert to fraction form
    47,609.78/71,432.89 = 21,295.61/x
  3. Step 3: Cross multiply
    47,609.78x = 71,432.89 × 21,295.61
  4. Step 4: Simplify right side
    47,609.78x = 1,521,206,824.08
  5. Step 5: Solve for x
    x = 1,521,206,824.08/47,609.78
  6. Step 6: Final answer
    x = 31,951.57

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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.