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Finding the Fourth Proportional to 40,240, 55,531.20 and 22,576

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Solution

The fourth proportional to 40,240, 55,531.20 and 22,576 is: 31,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,240 : 55,531.20 = 22,576 : x
  2. Step 2: Convert to fraction form
    40,240/55,531.20 = 22,576/x
  3. Step 3: Cross multiply
    40,240x = 55,531.20 × 22,576
  4. Step 4: Simplify right side
    40,240x = 1,253,672,371.20
  5. Step 5: Solve for x
    x = 1,253,672,371.20/40,240
  6. Step 6: Final answer
    x = 31,154.88

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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.