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Finding the Fourth Proportional to 126.64, 190 and 101.06

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Solution

The fourth proportional to 126.64, 190 and 101.06 is: 151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.64 : 190 = 101.06 : x
  2. Step 2: Convert to fraction form
    126.64/190 = 101.06/x
  3. Step 3: Cross multiply
    126.64x = 190 × 101.06
  4. Step 4: Simplify right side
    126.64x = 19,201.40
  5. Step 5: Solve for x
    x = 19,201.40/126.64
  6. Step 6: Final answer
    x = 151.62

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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.