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Finding the Fourth Proportional to 139.02, 190.56 and 137.14

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Solution

The fourth proportional to 139.02, 190.56 and 137.14 is: 187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.02 : 190.56 = 137.14 : x
  2. Step 2: Convert to fraction form
    139.02/190.56 = 137.14/x
  3. Step 3: Cross multiply
    139.02x = 190.56 × 137.14
  4. Step 4: Simplify right side
    139.02x = 26,133.40
  5. Step 5: Solve for x
    x = 26,133.40/139.02
  6. Step 6: Final answer
    x = 187.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.