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Finding the Fourth Proportional to 221,447.20, 332,170.80 and 142,715.20

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Solution

The fourth proportional to 221,447.20, 332,170.80 and 142,715.20 is: 214,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,447.20 : 332,170.80 = 142,715.20 : x
  2. Step 2: Convert to fraction form
    221,447.20/332,170.80 = 142,715.20/x
  3. Step 3: Cross multiply
    221,447.20x = 332,170.80 × 142,715.20
  4. Step 4: Simplify right side
    221,447.20x = 47,405,822,156.16
  5. Step 5: Solve for x
    x = 47,405,822,156.16/221,447.20
  6. Step 6: Final answer
    x = 214,072.80

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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.