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Finding the Fourth Proportional to 242,321.78, 363,540.18 and 76,109.78

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Solution

The fourth proportional to 242,321.78, 363,540.18 and 76,109.78 is: 114,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,321.78 : 363,540.18 = 76,109.78 : x
  2. Step 2: Convert to fraction form
    242,321.78/363,540.18 = 76,109.78/x
  3. Step 3: Cross multiply
    242,321.78x = 363,540.18 × 76,109.78
  4. Step 4: Simplify right side
    242,321.78x = 27,668,963,120.96
  5. Step 5: Solve for x
    x = 27,668,963,120.96/242,321.78
  6. Step 6: Final answer
    x = 114,182.73

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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.