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Finding the Fourth Proportional to 136.07, 187.67 and 89.37

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Solution

The fourth proportional to 136.07, 187.67 and 89.37 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.07 : 187.67 = 89.37 : x
  2. Step 2: Convert to fraction form
    136.07/187.67 = 89.37/x
  3. Step 3: Cross multiply
    136.07x = 187.67 × 89.37
  4. Step 4: Simplify right side
    136.07x = 16,772.29
  5. Step 5: Solve for x
    x = 16,772.29/136.07
  6. Step 6: Final answer
    x = 123.26

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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.