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Finding the Fourth Proportional to 261,241.42, 391,866.98 and 74,257.78

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Solution

The fourth proportional to 261,241.42, 391,866.98 and 74,257.78 is: 111,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,241.42 : 391,866.98 = 74,257.78 : x
  2. Step 2: Convert to fraction form
    261,241.42/391,866.98 = 74,257.78/x
  3. Step 3: Cross multiply
    261,241.42x = 391,866.98 × 74,257.78
  4. Step 4: Simplify right side
    261,241.42x = 29,099,171,990.10
  5. Step 5: Solve for x
    x = 29,099,171,990.10/261,241.42
  6. Step 6: Final answer
    x = 111,388.05

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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.