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Finding the Fourth Proportional to 221,753.60, 332,630.40 and 142,956.80

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Solution

The fourth proportional to 221,753.60, 332,630.40 and 142,956.80 is: 214,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,753.60 : 332,630.40 = 142,956.80 : x
  2. Step 2: Convert to fraction form
    221,753.60/332,630.40 = 142,956.80/x
  3. Step 3: Cross multiply
    221,753.60x = 332,630.40 × 142,956.80
  4. Step 4: Simplify right side
    221,753.60x = 47,551,777,566.72
  5. Step 5: Solve for x
    x = 47,551,777,566.72/221,753.60
  6. Step 6: Final answer
    x = 214,435.20

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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.