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Finding the Fourth Proportional to 120,890.88, 181,367.08 and 71,013.16

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Solution

The fourth proportional to 120,890.88, 181,367.08 and 71,013.16 is: 106,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,890.88 : 181,367.08 = 71,013.16 : x
  2. Step 2: Convert to fraction form
    120,890.88/181,367.08 = 71,013.16/x
  3. Step 3: Cross multiply
    120,890.88x = 181,367.08 × 71,013.16
  4. Step 4: Simplify right side
    120,890.88x = 12,879,449,470.77
  5. Step 5: Solve for x
    x = 12,879,449,470.77/120,890.88
  6. Step 6: Final answer
    x = 106,537.81

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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.