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Finding the Fourth Proportional to 40,376.64, 55,711.20 and 25,464

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Solution

The fourth proportional to 40,376.64, 55,711.20 and 25,464 is: 35,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,376.64 : 55,711.20 = 25,464 : x
  2. Step 2: Convert to fraction form
    40,376.64/55,711.20 = 25,464/x
  3. Step 3: Cross multiply
    40,376.64x = 55,711.20 × 25,464
  4. Step 4: Simplify right side
    40,376.64x = 1,418,629,996.80
  5. Step 5: Solve for x
    x = 1,418,629,996.80/40,376.64
  6. Step 6: Final answer
    x = 35,134.92

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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.