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Finding the Fourth Proportional to 124.47, 186.63 and 118.80

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Solution

The fourth proportional to 124.47, 186.63 and 118.80 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.47 : 186.63 = 118.80 : x
  2. Step 2: Convert to fraction form
    124.47/186.63 = 118.80/x
  3. Step 3: Cross multiply
    124.47x = 186.63 × 118.80
  4. Step 4: Simplify right side
    124.47x = 22,171.64
  5. Step 5: Solve for x
    x = 22,171.64/124.47
  6. Step 6: Final answer
    x = 178.13

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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.