Home / 209,834.20-314,844.30-109,970.68

Finding the Fourth Proportional to 209,834.20, 314,844.30 and 109,970.68

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Solution

The fourth proportional to 209,834.20, 314,844.30 and 109,970.68 is: 165,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,834.20 : 314,844.30 = 109,970.68 : x
  2. Step 2: Convert to fraction form
    209,834.20/314,844.30 = 109,970.68/x
  3. Step 3: Cross multiply
    209,834.20x = 314,844.30 × 109,970.68
  4. Step 4: Simplify right side
    209,834.20x = 34,623,641,765.12
  5. Step 5: Solve for x
    x = 34,623,641,765.12/209,834.20
  6. Step 6: Final answer
    x = 165,004.76

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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.