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Finding the Fourth Proportional to 80,351.16, 120,407.92 and 75,857.91

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Solution

The fourth proportional to 80,351.16, 120,407.92 and 75,857.91 is: 113,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,351.16 : 120,407.92 = 75,857.91 : x
  2. Step 2: Convert to fraction form
    80,351.16/120,407.92 = 75,857.91/x
  3. Step 3: Cross multiply
    80,351.16x = 120,407.92 × 75,857.91
  4. Step 4: Simplify right side
    80,351.16x = 9,133,893,158.65
  5. Step 5: Solve for x
    x = 9,133,893,158.65/80,351.16
  6. Step 6: Final answer
    x = 113,674.69

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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.