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Finding the Fourth Proportional to 215,231.20, 322,749.60 and 96,841.60

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Solution

The fourth proportional to 215,231.20, 322,749.60 and 96,841.60 is: 145,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,231.20 : 322,749.60 = 96,841.60 : x
  2. Step 2: Convert to fraction form
    215,231.20/322,749.60 = 96,841.60/x
  3. Step 3: Cross multiply
    215,231.20x = 322,749.60 × 96,841.60
  4. Step 4: Simplify right side
    215,231.20x = 31,255,587,663.36
  5. Step 5: Solve for x
    x = 31,255,587,663.36/215,231.20
  6. Step 6: Final answer
    x = 145,218.67

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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.