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Finding the Fourth Proportional to 140,545.81, 210,480.88 and 80,391.90

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Solution

The fourth proportional to 140,545.81, 210,480.88 and 80,391.90 is: 120,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,545.81 : 210,480.88 = 80,391.90 : x
  2. Step 2: Convert to fraction form
    140,545.81/210,480.88 = 80,391.90/x
  3. Step 3: Cross multiply
    140,545.81x = 210,480.88 × 80,391.90
  4. Step 4: Simplify right side
    140,545.81x = 16,920,957,454.91
  5. Step 5: Solve for x
    x = 16,920,957,454.91/140,545.81
  6. Step 6: Final answer
    x = 120,394.61

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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.