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Finding the Fourth Proportional to 316,819.24, 475,229.88 and 80,161.90

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Solution

The fourth proportional to 316,819.24, 475,229.88 and 80,161.90 is: 120,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,819.24 : 475,229.88 = 80,161.90 : x
  2. Step 2: Convert to fraction form
    316,819.24/475,229.88 = 80,161.90/x
  3. Step 3: Cross multiply
    316,819.24x = 475,229.88 × 80,161.90
  4. Step 4: Simplify right side
    316,819.24x = 38,095,330,117.57
  5. Step 5: Solve for x
    x = 38,095,330,117.57/316,819.24
  6. Step 6: Final answer
    x = 120,243.11

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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.