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Finding the Fourth Proportional to 126.14, 189.18 and 78.02

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Solution

The fourth proportional to 126.14, 189.18 and 78.02 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.14 : 189.18 = 78.02 : x
  2. Step 2: Convert to fraction form
    126.14/189.18 = 78.02/x
  3. Step 3: Cross multiply
    126.14x = 189.18 × 78.02
  4. Step 4: Simplify right side
    126.14x = 14,759.82
  5. Step 5: Solve for x
    x = 14,759.82/126.14
  6. Step 6: Final answer
    x = 117.01

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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.