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Finding the Fourth Proportional to 85,203.50, 117,581.31 and 49,414.77

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Solution

The fourth proportional to 85,203.50, 117,581.31 and 49,414.77 is: 68,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,203.50 : 117,581.31 = 49,414.77 : x
  2. Step 2: Convert to fraction form
    85,203.50/117,581.31 = 49,414.77/x
  3. Step 3: Cross multiply
    85,203.50x = 117,581.31 × 49,414.77
  4. Step 4: Simplify right side
    85,203.50x = 5,810,253,389.95
  5. Step 5: Solve for x
    x = 5,810,253,389.95/85,203.50
  6. Step 6: Final answer
    x = 68,192.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.