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Finding the Fourth Proportional to 144.90, 199.87 and 89.62

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Solution

The fourth proportional to 144.90, 199.87 and 89.62 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 199.87 = 89.62 : x
  2. Step 2: Convert to fraction form
    144.90/199.87 = 89.62/x
  3. Step 3: Cross multiply
    144.90x = 199.87 × 89.62
  4. Step 4: Simplify right side
    144.90x = 17,911.63
  5. Step 5: Solve for x
    x = 17,911.63/144.90
  6. Step 6: Final answer
    x = 123.61

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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.