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Finding the Fourth Proportional to 100,481.31, 138,663.90 and 55,157.76

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Solution

The fourth proportional to 100,481.31, 138,663.90 and 55,157.76 is: 76,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,481.31 : 138,663.90 = 55,157.76 : x
  2. Step 2: Convert to fraction form
    100,481.31/138,663.90 = 55,157.76/x
  3. Step 3: Cross multiply
    100,481.31x = 138,663.90 × 55,157.76
  4. Step 4: Simplify right side
    100,481.31x = 7,648,390,116.86
  5. Step 5: Solve for x
    x = 7,648,390,116.86/100,481.31
  6. Step 6: Final answer
    x = 76,117.54

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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.