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Finding the Fourth Proportional to 114.96, 172.26 and 78.78

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Solution

The fourth proportional to 114.96, 172.26 and 78.78 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 172.26 = 78.78 : x
  2. Step 2: Convert to fraction form
    114.96/172.26 = 78.78/x
  3. Step 3: Cross multiply
    114.96x = 172.26 × 78.78
  4. Step 4: Simplify right side
    114.96x = 13,570.64
  5. Step 5: Solve for x
    x = 13,570.64/114.96
  6. Step 6: Final answer
    x = 118.05

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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.