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Finding the Fourth Proportional to 40,978.68, 61,456.76 and 25,963.26

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Solution

The fourth proportional to 40,978.68, 61,456.76 and 25,963.26 is: 38,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,978.68 : 61,456.76 = 25,963.26 : x
  2. Step 2: Convert to fraction form
    40,978.68/61,456.76 = 25,963.26/x
  3. Step 3: Cross multiply
    40,978.68x = 61,456.76 × 25,963.26
  4. Step 4: Simplify right side
    40,978.68x = 1,595,617,838.64
  5. Step 5: Solve for x
    x = 1,595,617,838.64/40,978.68
  6. Step 6: Final answer
    x = 38,937.76

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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.