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Finding the Fourth Proportional to 100,167, 138,235.02 and 55,455

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Solution

The fourth proportional to 100,167, 138,235.02 and 55,455 is: 76,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,167 : 138,235.02 = 55,455 : x
  2. Step 2: Convert to fraction form
    100,167/138,235.02 = 55,455/x
  3. Step 3: Cross multiply
    100,167x = 138,235.02 × 55,455
  4. Step 4: Simplify right side
    100,167x = 7,665,823,034.10
  5. Step 5: Solve for x
    x = 7,665,823,034.10/100,167
  6. Step 6: Final answer
    x = 76,530.42

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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.