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Finding the Fourth Proportional to 209,036.90, 313,464.63 and 75,872.90

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Solution

The fourth proportional to 209,036.90, 313,464.63 and 75,872.90 is: 113,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,036.90 : 313,464.63 = 75,872.90 : x
  2. Step 2: Convert to fraction form
    209,036.90/313,464.63 = 75,872.90/x
  3. Step 3: Cross multiply
    209,036.90x = 313,464.63 × 75,872.90
  4. Step 4: Simplify right side
    209,036.90x = 23,783,470,525.53
  5. Step 5: Solve for x
    x = 23,783,470,525.53/209,036.90
  6. Step 6: Final answer
    x = 113,776.42

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1.5x scale

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.