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Finding the Fourth Proportional to 65,277, 90,082.80 and 35,469

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Solution

The fourth proportional to 65,277, 90,082.80 and 35,469 is: 48,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,277 : 90,082.80 = 35,469 : x
  2. Step 2: Convert to fraction form
    65,277/90,082.80 = 35,469/x
  3. Step 3: Cross multiply
    65,277x = 90,082.80 × 35,469
  4. Step 4: Simplify right side
    65,277x = 3,195,146,833.20
  5. Step 5: Solve for x
    x = 3,195,146,833.20/65,277
  6. Step 6: Final answer
    x = 48,947.51

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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.