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Finding the Fourth Proportional to 268,774.67, 403,220.33 and 81,781.31

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Solution

The fourth proportional to 268,774.67, 403,220.33 and 81,781.31 is: 122,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,774.67 : 403,220.33 = 81,781.31 : x
  2. Step 2: Convert to fraction form
    268,774.67/403,220.33 = 81,781.31/x
  3. Step 3: Cross multiply
    268,774.67x = 403,220.33 × 81,781.31
  4. Step 4: Simplify right side
    268,774.67x = 32,975,887,711.86
  5. Step 5: Solve for x
    x = 32,975,887,711.86/268,774.67
  6. Step 6: Final answer
    x = 122,689.71

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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.