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Finding the Fourth Proportional to 88.72, 122.40 and 85.84

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Solution

The fourth proportional to 88.72, 122.40 and 85.84 is: 118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.72 : 122.40 = 85.84 : x
  2. Step 2: Convert to fraction form
    88.72/122.40 = 85.84/x
  3. Step 3: Cross multiply
    88.72x = 122.40 × 85.84
  4. Step 4: Simplify right side
    88.72x = 10,506.82
  5. Step 5: Solve for x
    x = 10,506.82/88.72
  6. Step 6: Final answer
    x = 118.43

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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.