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Finding the Fourth Proportional to 70,998.86, 106,514.68 and 21,077.84

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Solution

The fourth proportional to 70,998.86, 106,514.68 and 21,077.84 is: 31,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,998.86 : 106,514.68 = 21,077.84 : x
  2. Step 2: Convert to fraction form
    70,998.86/106,514.68 = 21,077.84/x
  3. Step 3: Cross multiply
    70,998.86x = 106,514.68 × 21,077.84
  4. Step 4: Simplify right side
    70,998.86x = 2,245,099,382.69
  5. Step 5: Solve for x
    x = 2,245,099,382.69/70,998.86
  6. Step 6: Final answer
    x = 31,621.63

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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.