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Finding the Fourth Proportional to 159,758, 219,947.80 and 125,706.48

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Solution

The fourth proportional to 159,758, 219,947.80 and 125,706.48 is: 173,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,758 : 219,947.80 = 125,706.48 : x
  2. Step 2: Convert to fraction form
    159,758/219,947.80 = 125,706.48/x
  3. Step 3: Cross multiply
    159,758x = 219,947.80 × 125,706.48
  4. Step 4: Simplify right side
    159,758x = 27,648,863,721.74
  5. Step 5: Solve for x
    x = 27,648,863,721.74/159,758
  6. Step 6: Final answer
    x = 173,067.16

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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.