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Finding the Fourth Proportional to 126.09, 189.15 and 65.21

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Solution

The fourth proportional to 126.09, 189.15 and 65.21 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.09 : 189.15 = 65.21 : x
  2. Step 2: Convert to fraction form
    126.09/189.15 = 65.21/x
  3. Step 3: Cross multiply
    126.09x = 189.15 × 65.21
  4. Step 4: Simplify right side
    126.09x = 12,334.47
  5. Step 5: Solve for x
    x = 12,334.47/126.09
  6. Step 6: Final answer
    x = 97.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.