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Finding the Fourth Proportional to 71,286.40, 106,929.60 and 70,249.60

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Solution

The fourth proportional to 71,286.40, 106,929.60 and 70,249.60 is: 105,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286.40 : 106,929.60 = 70,249.60 : x
  2. Step 2: Convert to fraction form
    71,286.40/106,929.60 = 70,249.60/x
  3. Step 3: Cross multiply
    71,286.40x = 106,929.60 × 70,249.60
  4. Step 4: Simplify right side
    71,286.40x = 7,511,761,628.16
  5. Step 5: Solve for x
    x = 7,511,761,628.16/71,286.40
  6. Step 6: Final answer
    x = 105,374.40

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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.