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Finding the Fourth Proportional to 209,351.52, 288,903.06 and 113,859

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Solution

The fourth proportional to 209,351.52, 288,903.06 and 113,859 is: 157,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,351.52 : 288,903.06 = 113,859 : x
  2. Step 2: Convert to fraction form
    209,351.52/288,903.06 = 113,859/x
  3. Step 3: Cross multiply
    209,351.52x = 288,903.06 × 113,859
  4. Step 4: Simplify right side
    209,351.52x = 32,894,213,508.54
  5. Step 5: Solve for x
    x = 32,894,213,508.54/209,351.52
  6. Step 6: Final answer
    x = 157,124.31

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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.