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Finding the Fourth Proportional to 125.66, 189.16 and 89.84

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Solution

The fourth proportional to 125.66, 189.16 and 89.84 is: 135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.66 : 189.16 = 89.84 : x
  2. Step 2: Convert to fraction form
    125.66/189.16 = 89.84/x
  3. Step 3: Cross multiply
    125.66x = 189.16 × 89.84
  4. Step 4: Simplify right side
    125.66x = 16,993.30
  5. Step 5: Solve for x
    x = 16,993.30/125.66
  6. Step 6: Final answer
    x = 135.24

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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.