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Finding the Fourth Proportional to 65,234.77, 90,022.49 and 38,371.39

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Solution

The fourth proportional to 65,234.77, 90,022.49 and 38,371.39 is: 52,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.77 : 90,022.49 = 38,371.39 : x
  2. Step 2: Convert to fraction form
    65,234.77/90,022.49 = 38,371.39/x
  3. Step 3: Cross multiply
    65,234.77x = 90,022.49 × 38,371.39
  4. Step 4: Simplify right side
    65,234.77x = 3,454,287,799.54
  5. Step 5: Solve for x
    x = 3,454,287,799.54/65,234.77
  6. Step 6: Final answer
    x = 52,951.64

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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.