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Finding the Fourth Proportional to 89.06, 123.54 and 84.60

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Solution

The fourth proportional to 89.06, 123.54 and 84.60 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 123.54 = 84.60 : x
  2. Step 2: Convert to fraction form
    89.06/123.54 = 84.60/x
  3. Step 3: Cross multiply
    89.06x = 123.54 × 84.60
  4. Step 4: Simplify right side
    89.06x = 10,451.48
  5. Step 5: Solve for x
    x = 10,451.48/89.06
  6. Step 6: Final answer
    x = 117.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.