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Finding the Fourth Proportional to 65,102.81, 89,846.39 and 36,431.91

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Solution

The fourth proportional to 65,102.81, 89,846.39 and 36,431.91 is: 50,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.81 : 89,846.39 = 36,431.91 : x
  2. Step 2: Convert to fraction form
    65,102.81/89,846.39 = 36,431.91/x
  3. Step 3: Cross multiply
    65,102.81x = 89,846.39 × 36,431.91
  4. Step 4: Simplify right side
    65,102.81x = 3,273,275,685.38
  5. Step 5: Solve for x
    x = 3,273,275,685.38/65,102.81
  6. Step 6: Final answer
    x = 50,278.57

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1.5x scale

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.