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Finding the Fourth Proportional to 137.64, 190.02 and 106.50

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Solution

The fourth proportional to 137.64, 190.02 and 106.50 is: 147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 190.02 = 106.50 : x
  2. Step 2: Convert to fraction form
    137.64/190.02 = 106.50/x
  3. Step 3: Cross multiply
    137.64x = 190.02 × 106.50
  4. Step 4: Simplify right side
    137.64x = 20,237.13
  5. Step 5: Solve for x
    x = 20,237.13/137.64
  6. Step 6: Final answer
    x = 147.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.