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Finding the Fourth Proportional to 209,229.60, 313,909.98 and 69,086.64

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Solution

The fourth proportional to 209,229.60, 313,909.98 and 69,086.64 is: 103,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,229.60 : 313,909.98 = 69,086.64 : x
  2. Step 2: Convert to fraction form
    209,229.60/313,909.98 = 69,086.64/x
  3. Step 3: Cross multiply
    209,229.60x = 313,909.98 × 69,086.64
  4. Step 4: Simplify right side
    209,229.60x = 21,686,985,780.67
  5. Step 5: Solve for x
    x = 21,686,985,780.67/209,229.60
  6. Step 6: Final answer
    x = 103,651.61

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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.