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Finding the Fourth Proportional to 123.33, 170.16 and 76.68

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Solution

The fourth proportional to 123.33, 170.16 and 76.68 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.33 : 170.16 = 76.68 : x
  2. Step 2: Convert to fraction form
    123.33/170.16 = 76.68/x
  3. Step 3: Cross multiply
    123.33x = 170.16 × 76.68
  4. Step 4: Simplify right side
    123.33x = 13,047.87
  5. Step 5: Solve for x
    x = 13,047.87/123.33
  6. Step 6: Final answer
    x = 105.80

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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.