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Finding the Fourth Proportional to 88.50, 122.09 and 57.42

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Solution

The fourth proportional to 88.50, 122.09 and 57.42 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.50 : 122.09 = 57.42 : x
  2. Step 2: Convert to fraction form
    88.50/122.09 = 57.42/x
  3. Step 3: Cross multiply
    88.50x = 122.09 × 57.42
  4. Step 4: Simplify right side
    88.50x = 7,010.41
  5. Step 5: Solve for x
    x = 7,010.41/88.50
  6. Step 6: Final answer
    x = 79.21

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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.