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Finding the Fourth Proportional to 73.88, 111.35 and 65.96

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Solution

The fourth proportional to 73.88, 111.35 and 65.96 is: 99.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.88 : 111.35 = 65.96 : x
  2. Step 2: Convert to fraction form
    73.88/111.35 = 65.96/x
  3. Step 3: Cross multiply
    73.88x = 111.35 × 65.96
  4. Step 4: Simplify right side
    73.88x = 7,344.65
  5. Step 5: Solve for x
    x = 7,344.65/73.88
  6. Step 6: Final answer
    x = 99.41

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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.