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Finding the Fourth Proportional to 89.45, 124.06 and 85.80

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Solution

The fourth proportional to 89.45, 124.06 and 85.80 is: 119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.45 : 124.06 = 85.80 : x
  2. Step 2: Convert to fraction form
    89.45/124.06 = 85.80/x
  3. Step 3: Cross multiply
    89.45x = 124.06 × 85.80
  4. Step 4: Simplify right side
    89.45x = 10,644.46
  5. Step 5: Solve for x
    x = 10,644.46/89.45
  6. Step 6: Final answer
    x = 119.01

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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.