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Finding the Fourth Proportional to 114.16, 170.88 and 78.16

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Solution

The fourth proportional to 114.16, 170.88 and 78.16 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.16 : 170.88 = 78.16 : x
  2. Step 2: Convert to fraction form
    114.16/170.88 = 78.16/x
  3. Step 3: Cross multiply
    114.16x = 170.88 × 78.16
  4. Step 4: Simplify right side
    114.16x = 13,355.98
  5. Step 5: Solve for x
    x = 13,355.98/114.16
  6. Step 6: Final answer
    x = 116.99

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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.