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Finding the Fourth Proportional to 100,685.20, 138,942.02 and 55,362.87

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Solution

The fourth proportional to 100,685.20, 138,942.02 and 55,362.87 is: 76,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,685.20 : 138,942.02 = 55,362.87 : x
  2. Step 2: Convert to fraction form
    100,685.20/138,942.02 = 55,362.87/x
  3. Step 3: Cross multiply
    100,685.20x = 138,942.02 × 55,362.87
  4. Step 4: Simplify right side
    100,685.20x = 7,692,228,296.09
  5. Step 5: Solve for x
    x = 7,692,228,296.09/100,685.20
  6. Step 6: Final answer
    x = 76,398.80

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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.