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Finding the Fourth Proportional to 123.18, 184.72 and 46.12

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Solution

The fourth proportional to 123.18, 184.72 and 46.12 is: 69.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.18 : 184.72 = 46.12 : x
  2. Step 2: Convert to fraction form
    123.18/184.72 = 46.12/x
  3. Step 3: Cross multiply
    123.18x = 184.72 × 46.12
  4. Step 4: Simplify right side
    123.18x = 8,519.29
  5. Step 5: Solve for x
    x = 8,519.29/123.18
  6. Step 6: Final answer
    x = 69.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.