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Finding the Fourth Proportional to 81,189.80, 121,795.98 and 25,034.32

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Solution

The fourth proportional to 81,189.80, 121,795.98 and 25,034.32 is: 37,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,189.80 : 121,795.98 = 25,034.32 : x
  2. Step 2: Convert to fraction form
    81,189.80/121,795.98 = 25,034.32/x
  3. Step 3: Cross multiply
    81,189.80x = 121,795.98 × 25,034.32
  4. Step 4: Simplify right side
    81,189.80x = 3,049,079,974.16
  5. Step 5: Solve for x
    x = 3,049,079,974.16/81,189.80
  6. Step 6: Final answer
    x = 37,554.96

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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.