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Finding the Fourth Proportional to 68,701.86, 102,918.60 and 47,350.80

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Solution

The fourth proportional to 68,701.86, 102,918.60 and 47,350.80 is: 70,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,701.86 : 102,918.60 = 47,350.80 : x
  2. Step 2: Convert to fraction form
    68,701.86/102,918.60 = 47,350.80/x
  3. Step 3: Cross multiply
    68,701.86x = 102,918.60 × 47,350.80
  4. Step 4: Simplify right side
    68,701.86x = 4,873,278,044.88
  5. Step 5: Solve for x
    x = 4,873,278,044.88/68,701.86
  6. Step 6: Final answer
    x = 70,933.71

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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.