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Finding the Fourth Proportional to 99,713, 137,613.66 and 55,001

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Solution

The fourth proportional to 99,713, 137,613.66 and 55,001 is: 75,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713 : 137,613.66 = 55,001 : x
  2. Step 2: Convert to fraction form
    99,713/137,613.66 = 55,001/x
  3. Step 3: Cross multiply
    99,713x = 137,613.66 × 55,001
  4. Step 4: Simplify right side
    99,713x = 7,568,888,913.66
  5. Step 5: Solve for x
    x = 7,568,888,913.66/99,713
  6. Step 6: Final answer
    x = 75,906.74

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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.