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Finding the Fourth Proportional to 151,704.43, 209,351.90 and 83,721.40

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Solution

The fourth proportional to 151,704.43, 209,351.90 and 83,721.40 is: 115,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,704.43 : 209,351.90 = 83,721.40 : x
  2. Step 2: Convert to fraction form
    151,704.43/209,351.90 = 83,721.40/x
  3. Step 3: Cross multiply
    151,704.43x = 209,351.90 × 83,721.40
  4. Step 4: Simplify right side
    151,704.43x = 17,527,233,964.32
  5. Step 5: Solve for x
    x = 17,527,233,964.32/151,704.43
  6. Step 6: Final answer
    x = 115,535.41

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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.