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Finding the Fourth Proportional to 100,083, 138,118.92 and 55,371

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Solution

The fourth proportional to 100,083, 138,118.92 and 55,371 is: 76,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,083 : 138,118.92 = 55,371 : x
  2. Step 2: Convert to fraction form
    100,083/138,118.92 = 55,371/x
  3. Step 3: Cross multiply
    100,083x = 138,118.92 × 55,371
  4. Step 4: Simplify right side
    100,083x = 7,647,782,719.32
  5. Step 5: Solve for x
    x = 7,647,782,719.32/100,083
  6. Step 6: Final answer
    x = 76,414.40

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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.