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Finding the Fourth Proportional to 124.72, 171.97 and 114.40

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Solution

The fourth proportional to 124.72, 171.97 and 114.40 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.72 : 171.97 = 114.40 : x
  2. Step 2: Convert to fraction form
    124.72/171.97 = 114.40/x
  3. Step 3: Cross multiply
    124.72x = 171.97 × 114.40
  4. Step 4: Simplify right side
    124.72x = 19,673.37
  5. Step 5: Solve for x
    x = 19,673.37/124.72
  6. Step 6: Final answer
    x = 157.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.