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Finding the Fourth Proportional to 67.19, 100.24 and 57.07

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Solution

The fourth proportional to 67.19, 100.24 and 57.07 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.19 : 100.24 = 57.07 : x
  2. Step 2: Convert to fraction form
    67.19/100.24 = 57.07/x
  3. Step 3: Cross multiply
    67.19x = 100.24 × 57.07
  4. Step 4: Simplify right side
    67.19x = 5,720.70
  5. Step 5: Solve for x
    x = 5,720.70/67.19
  6. Step 6: Final answer
    x = 85.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.