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Finding the Fourth Proportional to 140,872.57, 211,231.10 and 57,824.89

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Solution

The fourth proportional to 140,872.57, 211,231.10 and 57,824.89 is: 86,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,872.57 : 211,231.10 = 57,824.89 : x
  2. Step 2: Convert to fraction form
    140,872.57/211,231.10 = 57,824.89/x
  3. Step 3: Cross multiply
    140,872.57x = 211,231.10 × 57,824.89
  4. Step 4: Simplify right side
    140,872.57x = 12,214,414,832.95
  5. Step 5: Solve for x
    x = 12,214,414,832.95/140,872.57
  6. Step 6: Final answer
    x = 86,705.42

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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.