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Finding the Fourth Proportional to 192.13, 265.19 and 123.13

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Solution

The fourth proportional to 192.13, 265.19 and 123.13 is: 169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.13 : 265.19 = 123.13 : x
  2. Step 2: Convert to fraction form
    192.13/265.19 = 123.13/x
  3. Step 3: Cross multiply
    192.13x = 265.19 × 123.13
  4. Step 4: Simplify right side
    192.13x = 32,651.83
  5. Step 5: Solve for x
    x = 32,651.83/192.13
  6. Step 6: Final answer
    x = 169.95

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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.