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Finding the Fourth Proportional to 215,906.20, 323,762.10 and 97,516.60

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Solution

The fourth proportional to 215,906.20, 323,762.10 and 97,516.60 is: 146,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,906.20 : 323,762.10 = 97,516.60 : x
  2. Step 2: Convert to fraction form
    215,906.20/323,762.10 = 97,516.60/x
  3. Step 3: Cross multiply
    215,906.20x = 323,762.10 × 97,516.60
  4. Step 4: Simplify right side
    215,906.20x = 31,572,179,200.86
  5. Step 5: Solve for x
    x = 31,572,179,200.86/215,906.20
  6. Step 6: Final answer
    x = 146,231.00

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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.