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Finding the Fourth Proportional to 209,721.60, 289,405.92 and 114,228

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Solution

The fourth proportional to 209,721.60, 289,405.92 and 114,228 is: 157,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,721.60 : 289,405.92 = 114,228 : x
  2. Step 2: Convert to fraction form
    209,721.60/289,405.92 = 114,228/x
  3. Step 3: Cross multiply
    209,721.60x = 289,405.92 × 114,228
  4. Step 4: Simplify right side
    209,721.60x = 33,058,259,429.76
  5. Step 5: Solve for x
    x = 33,058,259,429.76/209,721.60
  6. Step 6: Final answer
    x = 157,629.25

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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.