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Finding the Fourth Proportional to 73.84, 109.86 and 71.20

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Solution

The fourth proportional to 73.84, 109.86 and 71.20 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 109.86 = 71.20 : x
  2. Step 2: Convert to fraction form
    73.84/109.86 = 71.20/x
  3. Step 3: Cross multiply
    73.84x = 109.86 × 71.20
  4. Step 4: Simplify right side
    73.84x = 7,822.03
  5. Step 5: Solve for x
    x = 7,822.03/73.84
  6. Step 6: Final answer
    x = 105.93

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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.