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Finding the Fourth Proportional to 209,107.98, 313,674.12 and 75,987.72

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Solution

The fourth proportional to 209,107.98, 313,674.12 and 75,987.72 is: 113,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,107.98 : 313,674.12 = 75,987.72 : x
  2. Step 2: Convert to fraction form
    209,107.98/313,674.12 = 75,987.72/x
  3. Step 3: Cross multiply
    209,107.98x = 313,674.12 × 75,987.72
  4. Step 4: Simplify right side
    209,107.98x = 23,835,381,201.81
  5. Step 5: Solve for x
    x = 23,835,381,201.81/209,107.98
  6. Step 6: Final answer
    x = 113,986.00

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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.