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Finding the Fourth Proportional to 124.61, 185.75 and 117.77

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Solution

The fourth proportional to 124.61, 185.75 and 117.77 is: 175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.61 : 185.75 = 117.77 : x
  2. Step 2: Convert to fraction form
    124.61/185.75 = 117.77/x
  3. Step 3: Cross multiply
    124.61x = 185.75 × 117.77
  4. Step 4: Simplify right side
    124.61x = 21,874.70
  5. Step 5: Solve for x
    x = 21,874.70/124.61
  6. Step 6: Final answer
    x = 175.55

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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.