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Finding the Fourth Proportional to 68.92, 95.11 and 47.07

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Solution

The fourth proportional to 68.92, 95.11 and 47.07 is: 64.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 95.11 = 47.07 : x
  2. Step 2: Convert to fraction form
    68.92/95.11 = 47.07/x
  3. Step 3: Cross multiply
    68.92x = 95.11 × 47.07
  4. Step 4: Simplify right side
    68.92x = 4,476.71
  5. Step 5: Solve for x
    x = 4,476.71/68.92
  6. Step 6: Final answer
    x = 64.96

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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.