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Finding the Fourth Proportional to 209,107.71, 313,485.26 and 90,689.90

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Solution

The fourth proportional to 209,107.71, 313,485.26 and 90,689.90 is: 135,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,107.71 : 313,485.26 = 90,689.90 : x
  2. Step 2: Convert to fraction form
    209,107.71/313,485.26 = 90,689.90/x
  3. Step 3: Cross multiply
    209,107.71x = 313,485.26 × 90,689.90
  4. Step 4: Simplify right side
    209,107.71x = 28,429,944,860.00
  5. Step 5: Solve for x
    x = 28,429,944,860.00/209,107.71
  6. Step 6: Final answer
    x = 135,958.38

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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.