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Finding the Fourth Proportional to 68,984.87, 103,420.86 and 35,714.43

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Solution

The fourth proportional to 68,984.87, 103,420.86 and 35,714.43 is: 53,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,984.87 : 103,420.86 = 35,714.43 : x
  2. Step 2: Convert to fraction form
    68,984.87/103,420.86 = 35,714.43/x
  3. Step 3: Cross multiply
    68,984.87x = 103,420.86 × 35,714.43
  4. Step 4: Simplify right side
    68,984.87x = 3,693,617,065.01
  5. Step 5: Solve for x
    x = 3,693,617,065.01/68,984.87
  6. Step 6: Final answer
    x = 53,542.42

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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.