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Finding the Fourth Proportional to 158.66, 219.24 and 123.78

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Solution

The fourth proportional to 158.66, 219.24 and 123.78 is: 171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.66 : 219.24 = 123.78 : x
  2. Step 2: Convert to fraction form
    158.66/219.24 = 123.78/x
  3. Step 3: Cross multiply
    158.66x = 219.24 × 123.78
  4. Step 4: Simplify right side
    158.66x = 27,138.35
  5. Step 5: Solve for x
    x = 27,138.35/158.66
  6. Step 6: Final answer
    x = 171.05

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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.