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Finding the Fourth Proportional to 120.93, 166.68 and 86.00

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Solution

The fourth proportional to 120.93, 166.68 and 86.00 is: 118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.93 : 166.68 = 86.00 : x
  2. Step 2: Convert to fraction form
    120.93/166.68 = 86.00/x
  3. Step 3: Cross multiply
    120.93x = 166.68 × 86.00
  4. Step 4: Simplify right side
    120.93x = 14,333.65
  5. Step 5: Solve for x
    x = 14,333.65/120.93
  6. Step 6: Final answer
    x = 118.53

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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.