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Finding the Fourth Proportional to 284,778.76, 427,253.90 and 85,105.66

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Solution

The fourth proportional to 284,778.76, 427,253.90 and 85,105.66 is: 127,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778.76 : 427,253.90 = 85,105.66 : x
  2. Step 2: Convert to fraction form
    284,778.76/427,253.90 = 85,105.66/x
  3. Step 3: Cross multiply
    284,778.76x = 427,253.90 × 85,105.66
  4. Step 4: Simplify right side
    284,778.76x = 36,361,725,147.07
  5. Step 5: Solve for x
    x = 36,361,725,147.07/284,778.76
  6. Step 6: Final answer
    x = 127,684.12

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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.