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Finding the Fourth Proportional to 114.74, 172 and 78.62

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Solution

The fourth proportional to 114.74, 172 and 78.62 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.74 : 172 = 78.62 : x
  2. Step 2: Convert to fraction form
    114.74/172 = 78.62/x
  3. Step 3: Cross multiply
    114.74x = 172 × 78.62
  4. Step 4: Simplify right side
    114.74x = 13,522.64
  5. Step 5: Solve for x
    x = 13,522.64/114.74
  6. Step 6: Final answer
    x = 117.85

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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.