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Finding the Fourth Proportional to 57,195, 85,792.68 and 15,642

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Solution

The fourth proportional to 57,195, 85,792.68 and 15,642 is: 23,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,195 : 85,792.68 = 15,642 : x
  2. Step 2: Convert to fraction form
    57,195/85,792.68 = 15,642/x
  3. Step 3: Cross multiply
    57,195x = 85,792.68 × 15,642
  4. Step 4: Simplify right side
    57,195x = 1,341,969,100.56
  5. Step 5: Solve for x
    x = 1,341,969,100.56/57,195
  6. Step 6: Final answer
    x = 23,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.