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Finding the Fourth Proportional to 123.34, 170.36 and 100.06

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Solution

The fourth proportional to 123.34, 170.36 and 100.06 is: 138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 170.36 = 100.06 : x
  2. Step 2: Convert to fraction form
    123.34/170.36 = 100.06/x
  3. Step 3: Cross multiply
    123.34x = 170.36 × 100.06
  4. Step 4: Simplify right side
    123.34x = 17,046.22
  5. Step 5: Solve for x
    x = 17,046.22/123.34
  6. Step 6: Final answer
    x = 138.21

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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.