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Finding the Fourth Proportional to 65,119.74, 89,865.27 and 36,439.74

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Solution

The fourth proportional to 65,119.74, 89,865.27 and 36,439.74 is: 50,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,119.74 : 89,865.27 = 36,439.74 : x
  2. Step 2: Convert to fraction form
    65,119.74/89,865.27 = 36,439.74/x
  3. Step 3: Cross multiply
    65,119.74x = 89,865.27 × 36,439.74
  4. Step 4: Simplify right side
    65,119.74x = 3,274,667,073.83
  5. Step 5: Solve for x
    x = 3,274,667,073.83/65,119.74
  6. Step 6: Final answer
    x = 50,286.86

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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.