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Finding the Fourth Proportional to 65,874.53, 90,907.07 and 35,659.85

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Solution

The fourth proportional to 65,874.53, 90,907.07 and 35,659.85 is: 49,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.53 : 90,907.07 = 35,659.85 : x
  2. Step 2: Convert to fraction form
    65,874.53/90,907.07 = 35,659.85/x
  3. Step 3: Cross multiply
    65,874.53x = 90,907.07 × 35,659.85
  4. Step 4: Simplify right side
    65,874.53x = 3,241,731,847.30
  5. Step 5: Solve for x
    x = 3,241,731,847.30/65,874.53
  6. Step 6: Final answer
    x = 49,210.71

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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.