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Finding the Fourth Proportional to 189.78, 261.86 and 124.23

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Solution

The fourth proportional to 189.78, 261.86 and 124.23 is: 171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 261.86 = 124.23 : x
  2. Step 2: Convert to fraction form
    189.78/261.86 = 124.23/x
  3. Step 3: Cross multiply
    189.78x = 261.86 × 124.23
  4. Step 4: Simplify right side
    189.78x = 32,530.87
  5. Step 5: Solve for x
    x = 32,530.87/189.78
  6. Step 6: Final answer
    x = 171.41

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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.