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Finding the Fourth Proportional to 71,809.20, 107,713.80 and 40,705.20

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Solution

The fourth proportional to 71,809.20, 107,713.80 and 40,705.20 is: 61,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,809.20 : 107,713.80 = 40,705.20 : x
  2. Step 2: Convert to fraction form
    71,809.20/107,713.80 = 40,705.20/x
  3. Step 3: Cross multiply
    71,809.20x = 107,713.80 × 40,705.20
  4. Step 4: Simplify right side
    71,809.20x = 4,384,511,771.76
  5. Step 5: Solve for x
    x = 4,384,511,771.76/71,809.20
  6. Step 6: Final answer
    x = 61,057.80

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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.