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Finding the Fourth Proportional to 158,698.80, 238,067.76 and 69,974.64

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Solution

The fourth proportional to 158,698.80, 238,067.76 and 69,974.64 is: 104,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,698.80 : 238,067.76 = 69,974.64 : x
  2. Step 2: Convert to fraction form
    158,698.80/238,067.76 = 69,974.64/x
  3. Step 3: Cross multiply
    158,698.80x = 238,067.76 × 69,974.64
  4. Step 4: Simplify right side
    158,698.80x = 16,658,705,801.61
  5. Step 5: Solve for x
    x = 16,658,705,801.61/158,698.80
  6. Step 6: Final answer
    x = 104,970.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.