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Finding the Fourth Proportional to 119.10, 178.48 and 78.01

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Solution

The fourth proportional to 119.10, 178.48 and 78.01 is: 116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.10 : 178.48 = 78.01 : x
  2. Step 2: Convert to fraction form
    119.10/178.48 = 78.01/x
  3. Step 3: Cross multiply
    119.10x = 178.48 × 78.01
  4. Step 4: Simplify right side
    119.10x = 13,923.66
  5. Step 5: Solve for x
    x = 13,923.66/119.10
  6. Step 6: Final answer
    x = 116.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.