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Finding the Fourth Proportional to 95.09, 143.27 and 78.34

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Solution

The fourth proportional to 95.09, 143.27 and 78.34 is: 118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.09 : 143.27 = 78.34 : x
  2. Step 2: Convert to fraction form
    95.09/143.27 = 78.34/x
  3. Step 3: Cross multiply
    95.09x = 143.27 × 78.34
  4. Step 4: Simplify right side
    95.09x = 11,224.02
  5. Step 5: Solve for x
    x = 11,224.02/95.09
  6. Step 6: Final answer
    x = 118.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.