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Finding the Fourth Proportional to 89.06, 122.59 and 73.49

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Solution

The fourth proportional to 89.06, 122.59 and 73.49 is: 101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 122.59 = 73.49 : x
  2. Step 2: Convert to fraction form
    89.06/122.59 = 73.49/x
  3. Step 3: Cross multiply
    89.06x = 122.59 × 73.49
  4. Step 4: Simplify right side
    89.06x = 9,008.62
  5. Step 5: Solve for x
    x = 9,008.62/89.06
  6. Step 6: Final answer
    x = 101.16

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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.