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Finding the Fourth Proportional to 123.71, 184.26 and 117.56

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Solution

The fourth proportional to 123.71, 184.26 and 117.56 is: 175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.71 : 184.26 = 117.56 : x
  2. Step 2: Convert to fraction form
    123.71/184.26 = 117.56/x
  3. Step 3: Cross multiply
    123.71x = 184.26 × 117.56
  4. Step 4: Simplify right side
    123.71x = 21,660.68
  5. Step 5: Solve for x
    x = 21,660.68/123.71
  6. Step 6: Final answer
    x = 175.10

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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.