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Finding the Fourth Proportional to 120,473.70, 166,046.14 and 80,115.32

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Solution

The fourth proportional to 120,473.70, 166,046.14 and 80,115.32 is: 110,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,473.70 : 166,046.14 = 80,115.32 : x
  2. Step 2: Convert to fraction form
    120,473.70/166,046.14 = 80,115.32/x
  3. Step 3: Cross multiply
    120,473.70x = 166,046.14 × 80,115.32
  4. Step 4: Simplify right side
    120,473.70x = 13,302,839,640.86
  5. Step 5: Solve for x
    x = 13,302,839,640.86/120,473.70
  6. Step 6: Final answer
    x = 110,421.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.