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Finding the Fourth Proportional to 203,800.20, 305,713.80 and 54,038.40

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Solution

The fourth proportional to 203,800.20, 305,713.80 and 54,038.40 is: 81,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,800.20 : 305,713.80 = 54,038.40 : x
  2. Step 2: Convert to fraction form
    203,800.20/305,713.80 = 54,038.40/x
  3. Step 3: Cross multiply
    203,800.20x = 305,713.80 × 54,038.40
  4. Step 4: Simplify right side
    203,800.20x = 16,520,284,609.92
  5. Step 5: Solve for x
    x = 16,520,284,609.92/203,800.20
  6. Step 6: Final answer
    x = 81,061.18

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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.