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Finding the Fourth Proportional to 61,618.14, 85,034.25 and 36,144

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Solution

The fourth proportional to 61,618.14, 85,034.25 and 36,144 is: 49,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,618.14 : 85,034.25 = 36,144 : x
  2. Step 2: Convert to fraction form
    61,618.14/85,034.25 = 36,144/x
  3. Step 3: Cross multiply
    61,618.14x = 85,034.25 × 36,144
  4. Step 4: Simplify right side
    61,618.14x = 3,073,477,932
  5. Step 5: Solve for x
    x = 3,073,477,932/61,618.14
  6. Step 6: Final answer
    x = 49,879.43

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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.