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Finding the Fourth Proportional to 65,434.57, 90,304.20 and 36,366.44

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Solution

The fourth proportional to 65,434.57, 90,304.20 and 36,366.44 is: 50,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,434.57 : 90,304.20 = 36,366.44 : x
  2. Step 2: Convert to fraction form
    65,434.57/90,304.20 = 36,366.44/x
  3. Step 3: Cross multiply
    65,434.57x = 90,304.20 × 36,366.44
  4. Step 4: Simplify right side
    65,434.57x = 3,284,041,819.53
  5. Step 5: Solve for x
    x = 3,284,041,819.53/65,434.57
  6. Step 6: Final answer
    x = 50,188.18

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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.