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Finding the Fourth Proportional to 144.12, 215.64 and 86.37

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Solution

The fourth proportional to 144.12, 215.64 and 86.37 is: 129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 215.64 = 86.37 : x
  2. Step 2: Convert to fraction form
    144.12/215.64 = 86.37/x
  3. Step 3: Cross multiply
    144.12x = 215.64 × 86.37
  4. Step 4: Simplify right side
    144.12x = 18,624.83
  5. Step 5: Solve for x
    x = 18,624.83/144.12
  6. Step 6: Final answer
    x = 129.23

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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.