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Finding the Fourth Proportional to 124.49, 186.53 and 85.83

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Solution

The fourth proportional to 124.49, 186.53 and 85.83 is: 128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.49 : 186.53 = 85.83 : x
  2. Step 2: Convert to fraction form
    124.49/186.53 = 85.83/x
  3. Step 3: Cross multiply
    124.49x = 186.53 × 85.83
  4. Step 4: Simplify right side
    124.49x = 16,009.44
  5. Step 5: Solve for x
    x = 16,009.44/124.49
  6. Step 6: Final answer
    x = 128.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.