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Finding the Fourth Proportional to 88.27, 121.83 and 78.50

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Solution

The fourth proportional to 88.27, 121.83 and 78.50 is: 108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.27 : 121.83 = 78.50 : x
  2. Step 2: Convert to fraction form
    88.27/121.83 = 78.50/x
  3. Step 3: Cross multiply
    88.27x = 121.83 × 78.50
  4. Step 4: Simplify right side
    88.27x = 9,563.66
  5. Step 5: Solve for x
    x = 9,563.66/88.27
  6. Step 6: Final answer
    x = 108.35

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Why These Related Problems?

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