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Finding the Fourth Proportional to 40,891.78, 61,344.78 and 15,945.40

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Solution

The fourth proportional to 40,891.78, 61,344.78 and 15,945.40 is: 23,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,891.78 : 61,344.78 = 15,945.40 : x
  2. Step 2: Convert to fraction form
    40,891.78/61,344.78 = 15,945.40/x
  3. Step 3: Cross multiply
    40,891.78x = 61,344.78 × 15,945.40
  4. Step 4: Simplify right side
    40,891.78x = 978,167,055.01
  5. Step 5: Solve for x
    x = 978,167,055.01/40,891.78
  6. Step 6: Final answer
    x = 23,920.87

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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.