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Finding the Fourth Proportional to 209,118.21, 313,500.99 and 90,700.41

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Solution

The fourth proportional to 209,118.21, 313,500.99 and 90,700.41 is: 135,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,118.21 : 313,500.99 = 90,700.41 : x
  2. Step 2: Convert to fraction form
    209,118.21/313,500.99 = 90,700.41/x
  3. Step 3: Cross multiply
    209,118.21x = 313,500.99 × 90,700.41
  4. Step 4: Simplify right side
    209,118.21x = 28,434,668,328.41
  5. Step 5: Solve for x
    x = 28,434,668,328.41/209,118.21
  6. Step 6: Final answer
    x = 135,974.14

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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.