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Finding the Fourth Proportional to 89.03, 122.70 and 76.49

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Solution

The fourth proportional to 89.03, 122.70 and 76.49 is: 105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.03 : 122.70 = 76.49 : x
  2. Step 2: Convert to fraction form
    89.03/122.70 = 76.49/x
  3. Step 3: Cross multiply
    89.03x = 122.70 × 76.49
  4. Step 4: Simplify right side
    89.03x = 9,384.71
  5. Step 5: Solve for x
    x = 9,384.71/89.03
  6. Step 6: Final answer
    x = 105.42

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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.