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Finding the Fourth Proportional to 100,398.96, 138,553.56 and 55,686

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Solution

The fourth proportional to 100,398.96, 138,553.56 and 55,686 is: 76,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.96 : 138,553.56 = 55,686 : x
  2. Step 2: Convert to fraction form
    100,398.96/138,553.56 = 55,686/x
  3. Step 3: Cross multiply
    100,398.96x = 138,553.56 × 55,686
  4. Step 4: Simplify right side
    100,398.96x = 7,715,493,542.16
  5. Step 5: Solve for x
    x = 7,715,493,542.16/100,398.96
  6. Step 6: Final answer
    x = 76,848.34

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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.