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Finding the Fourth Proportional to 132,981.20, 199,480.80 and 54,096.80

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Solution

The fourth proportional to 132,981.20, 199,480.80 and 54,096.80 is: 81,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,981.20 : 199,480.80 = 54,096.80 : x
  2. Step 2: Convert to fraction form
    132,981.20/199,480.80 = 54,096.80/x
  3. Step 3: Cross multiply
    132,981.20x = 199,480.80 × 54,096.80
  4. Step 4: Simplify right side
    132,981.20x = 10,791,272,941.44
  5. Step 5: Solve for x
    x = 10,791,272,941.44/132,981.20
  6. Step 6: Final answer
    x = 81,148.86

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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.