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Finding the Fourth Proportional to 209,876.92, 289,630.52 and 114,383.56

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Solution

The fourth proportional to 209,876.92, 289,630.52 and 114,383.56 is: 157,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.92 : 289,630.52 = 114,383.56 : x
  2. Step 2: Convert to fraction form
    209,876.92/289,630.52 = 114,383.56/x
  3. Step 3: Cross multiply
    209,876.92x = 289,630.52 × 114,383.56
  4. Step 4: Simplify right side
    209,876.92x = 33,128,969,962.25
  5. Step 5: Solve for x
    x = 33,128,969,962.25/209,876.92
  6. Step 6: Final answer
    x = 157,849.51

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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.