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Finding the Fourth Proportional to 136.87, 189.38 and 117.16

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Solution

The fourth proportional to 136.87, 189.38 and 117.16 is: 162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.87 : 189.38 = 117.16 : x
  2. Step 2: Convert to fraction form
    136.87/189.38 = 117.16/x
  3. Step 3: Cross multiply
    136.87x = 189.38 × 117.16
  4. Step 4: Simplify right side
    136.87x = 22,187.76
  5. Step 5: Solve for x
    x = 22,187.76/136.87
  6. Step 6: Final answer
    x = 162.11

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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.