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Finding the Fourth Proportional to 73.18, 100.96 and 48.61

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Solution

The fourth proportional to 73.18, 100.96 and 48.61 is: 67.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.18 : 100.96 = 48.61 : x
  2. Step 2: Convert to fraction form
    73.18/100.96 = 48.61/x
  3. Step 3: Cross multiply
    73.18x = 100.96 × 48.61
  4. Step 4: Simplify right side
    73.18x = 4,907.67
  5. Step 5: Solve for x
    x = 4,907.67/73.18
  6. Step 6: Final answer
    x = 67.06

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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.