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Finding the Fourth Proportional to 89.74, 124.70 and 88.65

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Solution

The fourth proportional to 89.74, 124.70 and 88.65 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.74 : 124.70 = 88.65 : x
  2. Step 2: Convert to fraction form
    89.74/124.70 = 88.65/x
  3. Step 3: Cross multiply
    89.74x = 124.70 × 88.65
  4. Step 4: Simplify right side
    89.74x = 11,054.66
  5. Step 5: Solve for x
    x = 11,054.66/89.74
  6. Step 6: Final answer
    x = 123.19

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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.