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Finding the Fourth Proportional to 123.09, 185.49 and 101.90

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Solution

The fourth proportional to 123.09, 185.49 and 101.90 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.09 : 185.49 = 101.90 : x
  2. Step 2: Convert to fraction form
    123.09/185.49 = 101.90/x
  3. Step 3: Cross multiply
    123.09x = 185.49 × 101.90
  4. Step 4: Simplify right side
    123.09x = 18,900.50
  5. Step 5: Solve for x
    x = 18,900.50/123.09
  6. Step 6: Final answer
    x = 153.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.