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Finding the Fourth Proportional to 89.07, 122.58 and 67.20

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Solution

The fourth proportional to 89.07, 122.58 and 67.20 is: 92.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.07 : 122.58 = 67.20 : x
  2. Step 2: Convert to fraction form
    89.07/122.58 = 67.20/x
  3. Step 3: Cross multiply
    89.07x = 122.58 × 67.20
  4. Step 4: Simplify right side
    89.07x = 8,237.38
  5. Step 5: Solve for x
    x = 8,237.38/89.07
  6. Step 6: Final answer
    x = 92.48

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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.