Home / 209,837.82-314,849.67-109,974.13

Finding the Fourth Proportional to 209,837.82, 314,849.67 and 109,974.13

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Solution

The fourth proportional to 209,837.82, 314,849.67 and 109,974.13 is: 165,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,837.82 : 314,849.67 = 109,974.13 : x
  2. Step 2: Convert to fraction form
    209,837.82/314,849.67 = 109,974.13/x
  3. Step 3: Cross multiply
    209,837.82x = 314,849.67 × 109,974.13
  4. Step 4: Simplify right side
    209,837.82x = 34,625,318,539.04
  5. Step 5: Solve for x
    x = 34,625,318,539.04/209,837.82
  6. Step 6: Final answer
    x = 165,009.90

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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.