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Finding the Fourth Proportional to 72,764.71, 109,165.22 and 25,380.49

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Solution

The fourth proportional to 72,764.71, 109,165.22 and 25,380.49 is: 38,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764.71 : 109,165.22 = 25,380.49 : x
  2. Step 2: Convert to fraction form
    72,764.71/109,165.22 = 25,380.49/x
  3. Step 3: Cross multiply
    72,764.71x = 109,165.22 × 25,380.49
  4. Step 4: Simplify right side
    72,764.71x = 2,770,666,292.18
  5. Step 5: Solve for x
    x = 2,770,666,292.18/72,764.71
  6. Step 6: Final answer
    x = 38,077.06

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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.