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Finding the Fourth Proportional to 132,714.20, 199,071.30 and 53,787.80

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Solution

The fourth proportional to 132,714.20, 199,071.30 and 53,787.80 is: 80,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,714.20 : 199,071.30 = 53,787.80 : x
  2. Step 2: Convert to fraction form
    132,714.20/199,071.30 = 53,787.80/x
  3. Step 3: Cross multiply
    132,714.20x = 199,071.30 × 53,787.80
  4. Step 4: Simplify right side
    132,714.20x = 10,707,607,270.14
  5. Step 5: Solve for x
    x = 10,707,607,270.14/132,714.20
  6. Step 6: Final answer
    x = 80,681.70

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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.