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Finding the Fourth Proportional to 209,832.80, 314,842.15 and 109,969.14

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Solution

The fourth proportional to 209,832.80, 314,842.15 and 109,969.14 is: 165,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,832.80 : 314,842.15 = 109,969.14 : x
  2. Step 2: Convert to fraction form
    209,832.80/314,842.15 = 109,969.14/x
  3. Step 3: Cross multiply
    209,832.80x = 314,842.15 × 109,969.14
  4. Step 4: Simplify right side
    209,832.80x = 34,622,920,471.25
  5. Step 5: Solve for x
    x = 34,622,920,471.25/209,832.80
  6. Step 6: Final answer
    x = 165,002.42

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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.