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Finding the Fourth Proportional to 73.89, 102.20 and 71.46

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Solution

The fourth proportional to 73.89, 102.20 and 71.46 is: 98.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.89 : 102.20 = 71.46 : x
  2. Step 2: Convert to fraction form
    73.89/102.20 = 71.46/x
  3. Step 3: Cross multiply
    73.89x = 102.20 × 71.46
  4. Step 4: Simplify right side
    73.89x = 7,302.85
  5. Step 5: Solve for x
    x = 7,302.85/73.89
  6. Step 6: Final answer
    x = 98.83

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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.