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Finding the Fourth Proportional to 140,949.80, 211,443.90 and 52,181.80

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Solution

The fourth proportional to 140,949.80, 211,443.90 and 52,181.80 is: 78,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,949.80 : 211,443.90 = 52,181.80 : x
  2. Step 2: Convert to fraction form
    140,949.80/211,443.90 = 52,181.80/x
  3. Step 3: Cross multiply
    140,949.80x = 211,443.90 × 52,181.80
  4. Step 4: Simplify right side
    140,949.80x = 11,033,523,301.02
  5. Step 5: Solve for x
    x = 11,033,523,301.02/140,949.80
  6. Step 6: Final answer
    x = 78,279.81

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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.