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Finding the Fourth Proportional to 100,519.74, 138,724.31 and 66,469.06

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Solution

The fourth proportional to 100,519.74, 138,724.31 and 66,469.06 is: 91,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,519.74 : 138,724.31 = 66,469.06 : x
  2. Step 2: Convert to fraction form
    100,519.74/138,724.31 = 66,469.06/x
  3. Step 3: Cross multiply
    100,519.74x = 138,724.31 × 66,469.06
  4. Step 4: Simplify right side
    100,519.74x = 9,220,874,484.85
  5. Step 5: Solve for x
    x = 9,220,874,484.85/100,519.74
  6. Step 6: Final answer
    x = 91,731.98

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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.