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Finding the Fourth Proportional to 65,195, 89,969.18 and 35,387

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Solution

The fourth proportional to 65,195, 89,969.18 and 35,387 is: 48,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195 : 89,969.18 = 35,387 : x
  2. Step 2: Convert to fraction form
    65,195/89,969.18 = 35,387/x
  3. Step 3: Cross multiply
    65,195x = 89,969.18 × 35,387
  4. Step 4: Simplify right side
    65,195x = 3,183,739,372.66
  5. Step 5: Solve for x
    x = 3,183,739,372.66/65,195
  6. Step 6: Final answer
    x = 48,834.10

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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.