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Finding the Fourth Proportional to 140,690.14, 211,013.03 and 45,919.85

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Solution

The fourth proportional to 140,690.14, 211,013.03 and 45,919.85 is: 68,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,690.14 : 211,013.03 = 45,919.85 : x
  2. Step 2: Convert to fraction form
    140,690.14/211,013.03 = 45,919.85/x
  3. Step 3: Cross multiply
    140,690.14x = 211,013.03 × 45,919.85
  4. Step 4: Simplify right side
    140,690.14x = 9,689,685,745.38
  5. Step 5: Solve for x
    x = 9,689,685,745.38/140,690.14
  6. Step 6: Final answer
    x = 68,872.53

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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.