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Finding the Fourth Proportional to 124.77, 185.75 and 124.17

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Solution

The fourth proportional to 124.77, 185.75 and 124.17 is: 184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.77 : 185.75 = 124.17 : x
  2. Step 2: Convert to fraction form
    124.77/185.75 = 124.17/x
  3. Step 3: Cross multiply
    124.77x = 185.75 × 124.17
  4. Step 4: Simplify right side
    124.77x = 23,064.58
  5. Step 5: Solve for x
    x = 23,064.58/124.77
  6. Step 6: Final answer
    x = 184.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.