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Finding the Fourth Proportional to 137.47, 189.72 and 88.42

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Solution

The fourth proportional to 137.47, 189.72 and 88.42 is: 122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 189.72 = 88.42 : x
  2. Step 2: Convert to fraction form
    137.47/189.72 = 88.42/x
  3. Step 3: Cross multiply
    137.47x = 189.72 × 88.42
  4. Step 4: Simplify right side
    137.47x = 16,775.04
  5. Step 5: Solve for x
    x = 16,775.04/137.47
  6. Step 6: Final answer
    x = 122.03

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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.