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Finding the Fourth Proportional to 284,751, 427,197.92 and 85,070.61

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Solution

The fourth proportional to 284,751, 427,197.92 and 85,070.61 is: 127,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,751 : 427,197.92 = 85,070.61 : x
  2. Step 2: Convert to fraction form
    284,751/427,197.92 = 85,070.61/x
  3. Step 3: Cross multiply
    284,751x = 427,197.92 × 85,070.61
  4. Step 4: Simplify right side
    284,751x = 36,341,987,219.78
  5. Step 5: Solve for x
    x = 36,341,987,219.78/284,751
  6. Step 6: Final answer
    x = 127,627.25

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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.