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Finding the Fourth Proportional to 78.57, 118.47 and 69.66

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Solution

The fourth proportional to 78.57, 118.47 and 69.66 is: 105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.57 : 118.47 = 69.66 : x
  2. Step 2: Convert to fraction form
    78.57/118.47 = 69.66/x
  3. Step 3: Cross multiply
    78.57x = 118.47 × 69.66
  4. Step 4: Simplify right side
    78.57x = 8,252.62
  5. Step 5: Solve for x
    x = 8,252.62/78.57
  6. Step 6: Final answer
    x = 105.04

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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.