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Finding the Fourth Proportional to 89.22, 123.08 and 61.60

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Solution

The fourth proportional to 89.22, 123.08 and 61.60 is: 84.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.22 : 123.08 = 61.60 : x
  2. Step 2: Convert to fraction form
    89.22/123.08 = 61.60/x
  3. Step 3: Cross multiply
    89.22x = 123.08 × 61.60
  4. Step 4: Simplify right side
    89.22x = 7,581.73
  5. Step 5: Solve for x
    x = 7,581.73/89.22
  6. Step 6: Final answer
    x = 84.98

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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.