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Finding the Fourth Proportional to 209,682.01, 289,355.87 and 120,252.25

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Solution

The fourth proportional to 209,682.01, 289,355.87 and 120,252.25 is: 165,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,682.01 : 289,355.87 = 120,252.25 : x
  2. Step 2: Convert to fraction form
    209,682.01/289,355.87 = 120,252.25/x
  3. Step 3: Cross multiply
    209,682.01x = 289,355.87 × 120,252.25
  4. Step 4: Simplify right side
    209,682.01x = 34,795,693,816.95
  5. Step 5: Solve for x
    x = 34,795,693,816.95/209,682.01
  6. Step 6: Final answer
    x = 165,945.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.