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Finding the Fourth Proportional to 123.65, 169.61 and 117.02

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Solution

The fourth proportional to 123.65, 169.61 and 117.02 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.65 : 169.61 = 117.02 : x
  2. Step 2: Convert to fraction form
    123.65/169.61 = 117.02/x
  3. Step 3: Cross multiply
    123.65x = 169.61 × 117.02
  4. Step 4: Simplify right side
    123.65x = 19,848.48
  5. Step 5: Solve for x
    x = 19,848.48/123.65
  6. Step 6: Final answer
    x = 160.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.