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Finding the Fourth Proportional to 139.56, 193.50 and 135.06

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Solution

The fourth proportional to 139.56, 193.50 and 135.06 is: 187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.56 : 193.50 = 135.06 : x
  2. Step 2: Convert to fraction form
    139.56/193.50 = 135.06/x
  3. Step 3: Cross multiply
    139.56x = 193.50 × 135.06
  4. Step 4: Simplify right side
    139.56x = 26,134.11
  5. Step 5: Solve for x
    x = 26,134.11/139.56
  6. Step 6: Final answer
    x = 187.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.