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Finding the Fourth Proportional to 100,138, 138,189.30 and 54,815.44

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Solution

The fourth proportional to 100,138, 138,189.30 and 54,815.44 is: 75,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138 : 138,189.30 = 54,815.44 : x
  2. Step 2: Convert to fraction form
    100,138/138,189.30 = 54,815.44/x
  3. Step 3: Cross multiply
    100,138x = 138,189.30 × 54,815.44
  4. Step 4: Simplify right side
    100,138x = 7,574,907,282.79
  5. Step 5: Solve for x
    x = 7,574,907,282.79/100,138
  6. Step 6: Final answer
    x = 75,644.68

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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.