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Finding the Fourth Proportional to 100,551, 138,760.40 and 55,839

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Solution

The fourth proportional to 100,551, 138,760.40 and 55,839 is: 77,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,551 : 138,760.40 = 55,839 : x
  2. Step 2: Convert to fraction form
    100,551/138,760.40 = 55,839/x
  3. Step 3: Cross multiply
    100,551x = 138,760.40 × 55,839
  4. Step 4: Simplify right side
    100,551x = 7,748,241,975.60
  5. Step 5: Solve for x
    x = 7,748,241,975.60/100,551
  6. Step 6: Final answer
    x = 77,057.83

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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.