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Finding the Fourth Proportional to 227,983.20, 341,942.40 and 78,230.40

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Solution

The fourth proportional to 227,983.20, 341,942.40 and 78,230.40 is: 117,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,983.20 : 341,942.40 = 78,230.40 : x
  2. Step 2: Convert to fraction form
    227,983.20/341,942.40 = 78,230.40/x
  3. Step 3: Cross multiply
    227,983.20x = 341,942.40 × 78,230.40
  4. Step 4: Simplify right side
    227,983.20x = 26,750,290,728.96
  5. Step 5: Solve for x
    x = 26,750,290,728.96/227,983.20
  6. Step 6: Final answer
    x = 117,334.48

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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.