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Finding the Fourth Proportional to 137.02, 189.09 and 74.85

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Solution

The fourth proportional to 137.02, 189.09 and 74.85 is: 103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 189.09 = 74.85 : x
  2. Step 2: Convert to fraction form
    137.02/189.09 = 74.85/x
  3. Step 3: Cross multiply
    137.02x = 189.09 × 74.85
  4. Step 4: Simplify right side
    137.02x = 14,153.50
  5. Step 5: Solve for x
    x = 14,153.50/137.02
  6. Step 6: Final answer
    x = 103.29

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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.