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Finding the Fourth Proportional to 78.53, 107.51 and 75.80

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Solution

The fourth proportional to 78.53, 107.51 and 75.80 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.53 : 107.51 = 75.80 : x
  2. Step 2: Convert to fraction form
    78.53/107.51 = 75.80/x
  3. Step 3: Cross multiply
    78.53x = 107.51 × 75.80
  4. Step 4: Simplify right side
    78.53x = 8,149.26
  5. Step 5: Solve for x
    x = 8,149.26/78.53
  6. Step 6: Final answer
    x = 103.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.