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Finding the Fourth Proportional to 99,889, 137,846.82 and 55,177

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Solution

The fourth proportional to 99,889, 137,846.82 and 55,177 is: 76,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889 : 137,846.82 = 55,177 : x
  2. Step 2: Convert to fraction form
    99,889/137,846.82 = 55,177/x
  3. Step 3: Cross multiply
    99,889x = 137,846.82 × 55,177
  4. Step 4: Simplify right side
    99,889x = 7,605,973,987.14
  5. Step 5: Solve for x
    x = 7,605,973,987.14/99,889
  6. Step 6: Final answer
    x = 76,144.26

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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.