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Finding the Fourth Proportional to 126.03, 189.07 and 47.98

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Solution

The fourth proportional to 126.03, 189.07 and 47.98 is: 71.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.03 : 189.07 = 47.98 : x
  2. Step 2: Convert to fraction form
    126.03/189.07 = 47.98/x
  3. Step 3: Cross multiply
    126.03x = 189.07 × 47.98
  4. Step 4: Simplify right side
    126.03x = 9,071.57
  5. Step 5: Solve for x
    x = 9,071.57/126.03
  6. Step 6: Final answer
    x = 71.98

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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.