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Finding the Fourth Proportional to 67.18, 101.19 and 51.26

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Solution

The fourth proportional to 67.18, 101.19 and 51.26 is: 77.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.18 : 101.19 = 51.26 : x
  2. Step 2: Convert to fraction form
    67.18/101.19 = 51.26/x
  3. Step 3: Cross multiply
    67.18x = 101.19 × 51.26
  4. Step 4: Simplify right side
    67.18x = 5,186.74
  5. Step 5: Solve for x
    x = 5,186.74/67.18
  6. Step 6: Final answer
    x = 77.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.