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Finding the Fourth Proportional to 143.90, 215.88 and 107.86

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Solution

The fourth proportional to 143.90, 215.88 and 107.86 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.90 : 215.88 = 107.86 : x
  2. Step 2: Convert to fraction form
    143.90/215.88 = 107.86/x
  3. Step 3: Cross multiply
    143.90x = 215.88 × 107.86
  4. Step 4: Simplify right side
    143.90x = 23,283.74
  5. Step 5: Solve for x
    x = 23,283.74/143.90
  6. Step 6: Final answer
    x = 161.80

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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.