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Finding the Fourth Proportional to 65,682.38, 90,643.85 and 35,874.38

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Solution

The fourth proportional to 65,682.38, 90,643.85 and 35,874.38 is: 49,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.38 : 90,643.85 = 35,874.38 : x
  2. Step 2: Convert to fraction form
    65,682.38/90,643.85 = 35,874.38/x
  3. Step 3: Cross multiply
    65,682.38x = 90,643.85 × 35,874.38
  4. Step 4: Simplify right side
    65,682.38x = 3,251,791,286.97
  5. Step 5: Solve for x
    x = 3,251,791,286.97/65,682.38
  6. Step 6: Final answer
    x = 49,507.82

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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.