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Finding the Fourth Proportional to 205,422, 308,158.92 and 70,512.36

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Solution

The fourth proportional to 205,422, 308,158.92 and 70,512.36 is: 105,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422 : 308,158.92 = 70,512.36 : x
  2. Step 2: Convert to fraction form
    205,422/308,158.92 = 70,512.36/x
  3. Step 3: Cross multiply
    205,422x = 308,158.92 × 70,512.36
  4. Step 4: Simplify right side
    205,422x = 21,729,012,704.25
  5. Step 5: Solve for x
    x = 21,729,012,704.25/205,422
  6. Step 6: Final answer
    x = 105,777.44

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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.