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Finding the Fourth Proportional to 137.52, 189.80 and 85.76

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Solution

The fourth proportional to 137.52, 189.80 and 85.76 is: 118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 189.80 = 85.76 : x
  2. Step 2: Convert to fraction form
    137.52/189.80 = 85.76/x
  3. Step 3: Cross multiply
    137.52x = 189.80 × 85.76
  4. Step 4: Simplify right side
    137.52x = 16,277.25
  5. Step 5: Solve for x
    x = 16,277.25/137.52
  6. Step 6: Final answer
    x = 118.36

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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.