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Finding the Fourth Proportional to 100,508.47, 138,703.42 and 55,188.37

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Solution

The fourth proportional to 100,508.47, 138,703.42 and 55,188.37 is: 76,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,508.47 : 138,703.42 = 55,188.37 : x
  2. Step 2: Convert to fraction form
    100,508.47/138,703.42 = 55,188.37/x
  3. Step 3: Cross multiply
    100,508.47x = 138,703.42 × 55,188.37
  4. Step 4: Simplify right side
    100,508.47x = 7,654,815,663.23
  5. Step 5: Solve for x
    x = 7,654,815,663.23/100,508.47
  6. Step 6: Final answer
    x = 76,160.90

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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.