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Finding the Fourth Proportional to 100,231, 138,319.06 and 55,519

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Solution

The fourth proportional to 100,231, 138,319.06 and 55,519 is: 76,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,231 : 138,319.06 = 55,519 : x
  2. Step 2: Convert to fraction form
    100,231/138,319.06 = 55,519/x
  3. Step 3: Cross multiply
    100,231x = 138,319.06 × 55,519
  4. Step 4: Simplify right side
    100,231x = 7,679,335,892.14
  5. Step 5: Solve for x
    x = 7,679,335,892.14/100,231
  6. Step 6: Final answer
    x = 76,616.38

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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.