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Finding the Fourth Proportional to 133,271.20, 199,906.80 and 71,063.20

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Solution

The fourth proportional to 133,271.20, 199,906.80 and 71,063.20 is: 106,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,271.20 : 199,906.80 = 71,063.20 : x
  2. Step 2: Convert to fraction form
    133,271.20/199,906.80 = 71,063.20/x
  3. Step 3: Cross multiply
    133,271.20x = 199,906.80 × 71,063.20
  4. Step 4: Simplify right side
    133,271.20x = 14,206,016,909.76
  5. Step 5: Solve for x
    x = 14,206,016,909.76/133,271.20
  6. Step 6: Final answer
    x = 106,594.80

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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.