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Finding the Fourth Proportional to 100,207.82, 138,281.84 and 54,886

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Solution

The fourth proportional to 100,207.82, 138,281.84 and 54,886 is: 75,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,207.82 : 138,281.84 = 54,886 : x
  2. Step 2: Convert to fraction form
    100,207.82/138,281.84 = 54,886/x
  3. Step 3: Cross multiply
    100,207.82x = 138,281.84 × 54,886
  4. Step 4: Simplify right side
    100,207.82x = 7,589,737,070.24
  5. Step 5: Solve for x
    x = 7,589,737,070.24/100,207.82
  6. Step 6: Final answer
    x = 75,739.97

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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.