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Finding the Fourth Proportional to 88.70, 122.41 and 49.89

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Solution

The fourth proportional to 88.70, 122.41 and 49.89 is: 68.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.70 : 122.41 = 49.89 : x
  2. Step 2: Convert to fraction form
    88.70/122.41 = 49.89/x
  3. Step 3: Cross multiply
    88.70x = 122.41 × 49.89
  4. Step 4: Simplify right side
    88.70x = 6,107.03
  5. Step 5: Solve for x
    x = 6,107.03/88.70
  6. Step 6: Final answer
    x = 68.85

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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.