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Finding the Fourth Proportional to 78,224.36, 107,949.62 and 42,414.36

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Solution

The fourth proportional to 78,224.36, 107,949.62 and 42,414.36 is: 58,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,224.36 : 107,949.62 = 42,414.36 : x
  2. Step 2: Convert to fraction form
    78,224.36/107,949.62 = 42,414.36/x
  3. Step 3: Cross multiply
    78,224.36x = 107,949.62 × 42,414.36
  4. Step 4: Simplify right side
    78,224.36x = 4,578,614,044.54
  5. Step 5: Solve for x
    x = 4,578,614,044.54/78,224.36
  6. Step 6: Final answer
    x = 58,531.82

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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.