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Finding the Fourth Proportional to 227,981.64, 341,920.44 and 85,841.90

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Solution

The fourth proportional to 227,981.64, 341,920.44 and 85,841.90 is: 128,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,981.64 : 341,920.44 = 85,841.90 : x
  2. Step 2: Convert to fraction form
    227,981.64/341,920.44 = 85,841.90/x
  3. Step 3: Cross multiply
    227,981.64x = 341,920.44 × 85,841.90
  4. Step 4: Simplify right side
    227,981.64x = 29,351,100,218.44
  5. Step 5: Solve for x
    x = 29,351,100,218.44/227,981.64
  6. Step 6: Final answer
    x = 128,743.26

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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.