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Finding the Fourth Proportional to 83.51, 114.93 and 79.86

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Solution

The fourth proportional to 83.51, 114.93 and 79.86 is: 109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.51 : 114.93 = 79.86 : x
  2. Step 2: Convert to fraction form
    83.51/114.93 = 79.86/x
  3. Step 3: Cross multiply
    83.51x = 114.93 × 79.86
  4. Step 4: Simplify right side
    83.51x = 9,178.31
  5. Step 5: Solve for x
    x = 9,178.31/83.51
  6. Step 6: Final answer
    x = 109.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.