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Finding the Fourth Proportional to 124.48, 187.76 and 118.24

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Solution

The fourth proportional to 124.48, 187.76 and 118.24 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.48 : 187.76 = 118.24 : x
  2. Step 2: Convert to fraction form
    124.48/187.76 = 118.24/x
  3. Step 3: Cross multiply
    124.48x = 187.76 × 118.24
  4. Step 4: Simplify right side
    124.48x = 22,200.74
  5. Step 5: Solve for x
    x = 22,200.74/124.48
  6. Step 6: Final answer
    x = 178.35

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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.