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Finding the Fourth Proportional to 215,118.80, 322,678 and 65,358.48

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Solution

The fourth proportional to 215,118.80, 322,678 and 65,358.48 is: 98,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,118.80 : 322,678 = 65,358.48 : x
  2. Step 2: Convert to fraction form
    215,118.80/322,678 = 65,358.48/x
  3. Step 3: Cross multiply
    215,118.80x = 322,678 × 65,358.48
  4. Step 4: Simplify right side
    215,118.80x = 21,089,743,609.44
  5. Step 5: Solve for x
    x = 21,089,743,609.44/215,118.80
  6. Step 6: Final answer
    x = 98,037.66

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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.