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Finding the Fourth Proportional to 252,215.97, 378,200.02 and 83,679.06

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Solution

The fourth proportional to 252,215.97, 378,200.02 and 83,679.06 is: 125,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,215.97 : 378,200.02 = 83,679.06 : x
  2. Step 2: Convert to fraction form
    252,215.97/378,200.02 = 83,679.06/x
  3. Step 3: Cross multiply
    252,215.97x = 378,200.02 × 83,679.06
  4. Step 4: Simplify right side
    252,215.97x = 31,647,422,165.58
  5. Step 5: Solve for x
    x = 31,647,422,165.58/252,215.97
  6. Step 6: Final answer
    x = 125,477.47

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1.5x scale

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.