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Finding the Fourth Proportional to 73.13, 108.47 and 72.05

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Solution

The fourth proportional to 73.13, 108.47 and 72.05 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.13 : 108.47 = 72.05 : x
  2. Step 2: Convert to fraction form
    73.13/108.47 = 72.05/x
  3. Step 3: Cross multiply
    73.13x = 108.47 × 72.05
  4. Step 4: Simplify right side
    73.13x = 7,815.26
  5. Step 5: Solve for x
    x = 7,815.26/73.13
  6. Step 6: Final answer
    x = 106.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.