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Finding the Fourth Proportional to 73.70, 109.84 and 71.72

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Solution

The fourth proportional to 73.70, 109.84 and 71.72 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.70 : 109.84 = 71.72 : x
  2. Step 2: Convert to fraction form
    73.70/109.84 = 71.72/x
  3. Step 3: Cross multiply
    73.70x = 109.84 × 71.72
  4. Step 4: Simplify right side
    73.70x = 7,877.72
  5. Step 5: Solve for x
    x = 7,877.72/73.70
  6. Step 6: Final answer
    x = 106.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.