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Finding the Fourth Proportional to 141.08, 211.62 and 123.08

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Solution

The fourth proportional to 141.08, 211.62 and 123.08 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.08 : 211.62 = 123.08 : x
  2. Step 2: Convert to fraction form
    141.08/211.62 = 123.08/x
  3. Step 3: Cross multiply
    141.08x = 211.62 × 123.08
  4. Step 4: Simplify right side
    141.08x = 26,046.19
  5. Step 5: Solve for x
    x = 26,046.19/141.08
  6. Step 6: Final answer
    x = 184.62

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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.