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Finding the Fourth Proportional to 123.93, 184.64 and 117.81

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Solution

The fourth proportional to 123.93, 184.64 and 117.81 is: 175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 184.64 = 117.81 : x
  2. Step 2: Convert to fraction form
    123.93/184.64 = 117.81/x
  3. Step 3: Cross multiply
    123.93x = 184.64 × 117.81
  4. Step 4: Simplify right side
    123.93x = 21,751.85
  5. Step 5: Solve for x
    x = 21,751.85/123.93
  6. Step 6: Final answer
    x = 175.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.