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Finding the Fourth Proportional to 81,168.34, 121,764.12 and 25,013.20

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Solution

The fourth proportional to 81,168.34, 121,764.12 and 25,013.20 is: 37,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,168.34 : 121,764.12 = 25,013.20 : x
  2. Step 2: Convert to fraction form
    81,168.34/121,764.12 = 25,013.20/x
  3. Step 3: Cross multiply
    81,168.34x = 121,764.12 × 25,013.20
  4. Step 4: Simplify right side
    81,168.34x = 3,045,710,286.38
  5. Step 5: Solve for x
    x = 3,045,710,286.38/81,168.34
  6. Step 6: Final answer
    x = 37,523.38

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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.