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Finding the Fourth Proportional to 73.84, 111.37 and 65.92

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Solution

The fourth proportional to 73.84, 111.37 and 65.92 is: 99.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 111.37 = 65.92 : x
  2. Step 2: Convert to fraction form
    73.84/111.37 = 65.92/x
  3. Step 3: Cross multiply
    73.84x = 111.37 × 65.92
  4. Step 4: Simplify right side
    73.84x = 7,341.51
  5. Step 5: Solve for x
    x = 7,341.51/73.84
  6. Step 6: Final answer
    x = 99.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.