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Finding the Fourth Proportional to 80,115.70, 120,137.10 and 42,666.16

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Solution

The fourth proportional to 80,115.70, 120,137.10 and 42,666.16 is: 63,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,115.70 : 120,137.10 = 42,666.16 : x
  2. Step 2: Convert to fraction form
    80,115.70/120,137.10 = 42,666.16/x
  3. Step 3: Cross multiply
    80,115.70x = 120,137.10 × 42,666.16
  4. Step 4: Simplify right side
    80,115.70x = 5,125,788,730.54
  5. Step 5: Solve for x
    x = 5,125,788,730.54/80,115.70
  6. Step 6: Final answer
    x = 63,979.83

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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.