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Finding the Fourth Proportional to 137.84, 189.95 and 88.70

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Solution

The fourth proportional to 137.84, 189.95 and 88.70 is: 122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 189.95 = 88.70 : x
  2. Step 2: Convert to fraction form
    137.84/189.95 = 88.70/x
  3. Step 3: Cross multiply
    137.84x = 189.95 × 88.70
  4. Step 4: Simplify right side
    137.84x = 16,847.17
  5. Step 5: Solve for x
    x = 16,847.17/137.84
  6. Step 6: Final answer
    x = 122.23

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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.