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Finding the Fourth Proportional to 88.92, 122.76 and 85.05

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Solution

The fourth proportional to 88.92, 122.76 and 85.05 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.92 : 122.76 = 85.05 : x
  2. Step 2: Convert to fraction form
    88.92/122.76 = 85.05/x
  3. Step 3: Cross multiply
    88.92x = 122.76 × 85.05
  4. Step 4: Simplify right side
    88.92x = 10,440.74
  5. Step 5: Solve for x
    x = 10,440.74/88.92
  6. Step 6: Final answer
    x = 117.42

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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.