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Finding the Fourth Proportional to 132,920.64, 199,311.84 and 53,989.92

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Solution

The fourth proportional to 132,920.64, 199,311.84 and 53,989.92 is: 80,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,920.64 : 199,311.84 = 53,989.92 : x
  2. Step 2: Convert to fraction form
    132,920.64/199,311.84 = 53,989.92/x
  3. Step 3: Cross multiply
    132,920.64x = 199,311.84 × 53,989.92
  4. Step 4: Simplify right side
    132,920.64x = 10,760,830,296.65
  5. Step 5: Solve for x
    x = 10,760,830,296.65/132,920.64
  6. Step 6: Final answer
    x = 80,956.80

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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.