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Finding the Fourth Proportional to 81.84, 112.94 and 46.88

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Solution

The fourth proportional to 81.84, 112.94 and 46.88 is: 64.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 112.94 = 46.88 : x
  2. Step 2: Convert to fraction form
    81.84/112.94 = 46.88/x
  3. Step 3: Cross multiply
    81.84x = 112.94 × 46.88
  4. Step 4: Simplify right side
    81.84x = 5,294.18
  5. Step 5: Solve for x
    x = 5,294.18/81.84
  6. Step 6: Final answer
    x = 64.69

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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.