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Finding the Fourth Proportional to 89.84, 124.52 and 88.20

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Solution

The fourth proportional to 89.84, 124.52 and 88.20 is: 122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.84 : 124.52 = 88.20 : x
  2. Step 2: Convert to fraction form
    89.84/124.52 = 88.20/x
  3. Step 3: Cross multiply
    89.84x = 124.52 × 88.20
  4. Step 4: Simplify right side
    89.84x = 10,982.71
  5. Step 5: Solve for x
    x = 10,982.71/89.84
  6. Step 6: Final answer
    x = 122.25

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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.