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Finding the Fourth Proportional to 215,832.80, 323,749.20 and 68,088.80

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Solution

The fourth proportional to 215,832.80, 323,749.20 and 68,088.80 is: 102,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,832.80 : 323,749.20 = 68,088.80 : x
  2. Step 2: Convert to fraction form
    215,832.80/323,749.20 = 68,088.80/x
  3. Step 3: Cross multiply
    215,832.80x = 323,749.20 × 68,088.80
  4. Step 4: Simplify right side
    215,832.80x = 22,043,694,528.96
  5. Step 5: Solve for x
    x = 22,043,694,528.96/215,832.80
  6. Step 6: Final answer
    x = 102,133.20

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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.