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Finding the Fourth Proportional to 71,815.60, 107,656.98 and 36,677.80

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Solution

The fourth proportional to 71,815.60, 107,656.98 and 36,677.80 is: 54,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,815.60 : 107,656.98 = 36,677.80 : x
  2. Step 2: Convert to fraction form
    71,815.60/107,656.98 = 36,677.80/x
  3. Step 3: Cross multiply
    71,815.60x = 107,656.98 × 36,677.80
  4. Step 4: Simplify right side
    71,815.60x = 3,948,621,181.04
  5. Step 5: Solve for x
    x = 3,948,621,181.04/71,815.60
  6. Step 6: Final answer
    x = 54,982.78

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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.