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Finding the Fourth Proportional to 209,838.32, 314,850.42 and 109,974.63

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Solution

The fourth proportional to 209,838.32, 314,850.42 and 109,974.63 is: 165,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,838.32 : 314,850.42 = 109,974.63 : x
  2. Step 2: Convert to fraction form
    209,838.32/314,850.42 = 109,974.63/x
  3. Step 3: Cross multiply
    209,838.32x = 314,850.42 × 109,974.63
  4. Step 4: Simplify right side
    209,838.32x = 34,625,558,444.84
  5. Step 5: Solve for x
    x = 34,625,558,444.84/209,838.32
  6. Step 6: Final answer
    x = 165,010.65

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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.