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Finding the Fourth Proportional to 101.23, 152.59 and 83.41

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Solution

The fourth proportional to 101.23, 152.59 and 83.41 is: 125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.23 : 152.59 = 83.41 : x
  2. Step 2: Convert to fraction form
    101.23/152.59 = 83.41/x
  3. Step 3: Cross multiply
    101.23x = 152.59 × 83.41
  4. Step 4: Simplify right side
    101.23x = 12,727.53
  5. Step 5: Solve for x
    x = 12,727.53/101.23
  6. Step 6: Final answer
    x = 125.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.