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Finding the Fourth Proportional to 100,062.30, 138,084.83 and 54,739.76

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Solution

The fourth proportional to 100,062.30, 138,084.83 and 54,739.76 is: 75,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062.30 : 138,084.83 = 54,739.76 : x
  2. Step 2: Convert to fraction form
    100,062.30/138,084.83 = 54,739.76/x
  3. Step 3: Cross multiply
    100,062.30x = 138,084.83 × 54,739.76
  4. Step 4: Simplify right side
    100,062.30x = 7,558,729,897.93
  5. Step 5: Solve for x
    x = 7,558,729,897.93/100,062.30
  6. Step 6: Final answer
    x = 75,540.24

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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.