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Finding the Fourth Proportional to 65,493, 90,380.34 and 35,685

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Solution

The fourth proportional to 65,493, 90,380.34 and 35,685 is: 49,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,493 : 90,380.34 = 35,685 : x
  2. Step 2: Convert to fraction form
    65,493/90,380.34 = 35,685/x
  3. Step 3: Cross multiply
    65,493x = 90,380.34 × 35,685
  4. Step 4: Simplify right side
    65,493x = 3,225,222,432.90
  5. Step 5: Solve for x
    x = 3,225,222,432.90/65,493
  6. Step 6: Final answer
    x = 49,245.30

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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.