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Finding the Fourth Proportional to 40,141.60, 55,393.84 and 21,992

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Solution

The fourth proportional to 40,141.60, 55,393.84 and 21,992 is: 30,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,141.60 : 55,393.84 = 21,992 : x
  2. Step 2: Convert to fraction form
    40,141.60/55,393.84 = 21,992/x
  3. Step 3: Cross multiply
    40,141.60x = 55,393.84 × 21,992
  4. Step 4: Simplify right side
    40,141.60x = 1,218,221,329.28
  5. Step 5: Solve for x
    x = 1,218,221,329.28/40,141.60
  6. Step 6: Final answer
    x = 30,348.10

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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.