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Finding the Fourth Proportional to 209,842.83, 314,857.29 and 109,979.31

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Solution

The fourth proportional to 209,842.83, 314,857.29 and 109,979.31 is: 165,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,842.83 : 314,857.29 = 109,979.31 : x
  2. Step 2: Convert to fraction form
    209,842.83/314,857.29 = 109,979.31/x
  3. Step 3: Cross multiply
    209,842.83x = 314,857.29 × 109,979.31
  4. Step 4: Simplify right side
    209,842.83x = 34,627,787,502.67
  5. Step 5: Solve for x
    x = 34,627,787,502.67/209,842.83
  6. Step 6: Final answer
    x = 165,017.73

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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.