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Finding the Fourth Proportional to 65,804.24, 90,806.31 and 38,949.24

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Solution

The fourth proportional to 65,804.24, 90,806.31 and 38,949.24 is: 53,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,804.24 : 90,806.31 = 38,949.24 : x
  2. Step 2: Convert to fraction form
    65,804.24/90,806.31 = 38,949.24/x
  3. Step 3: Cross multiply
    65,804.24x = 90,806.31 × 38,949.24
  4. Step 4: Simplify right side
    65,804.24x = 3,536,836,761.70
  5. Step 5: Solve for x
    x = 3,536,836,761.70/65,804.24
  6. Step 6: Final answer
    x = 53,747.86

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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.