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Finding the Fourth Proportional to 209,919.20, 314,878.80 and 76,803.80

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Solution

The fourth proportional to 209,919.20, 314,878.80 and 76,803.80 is: 115,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,919.20 : 314,878.80 = 76,803.80 : x
  2. Step 2: Convert to fraction form
    209,919.20/314,878.80 = 76,803.80/x
  3. Step 3: Cross multiply
    209,919.20x = 314,878.80 × 76,803.80
  4. Step 4: Simplify right side
    209,919.20x = 24,183,888,379.44
  5. Step 5: Solve for x
    x = 24,183,888,379.44/209,919.20
  6. Step 6: Final answer
    x = 115,205.70

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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.