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Finding the Fourth Proportional to 100,381.92, 138,526.09 and 55,059

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Solution

The fourth proportional to 100,381.92, 138,526.09 and 55,059 is: 75,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,381.92 : 138,526.09 = 55,059 : x
  2. Step 2: Convert to fraction form
    100,381.92/138,526.09 = 55,059/x
  3. Step 3: Cross multiply
    100,381.92x = 138,526.09 × 55,059
  4. Step 4: Simplify right side
    100,381.92x = 7,627,107,989.31
  5. Step 5: Solve for x
    x = 7,627,107,989.31/100,381.92
  6. Step 6: Final answer
    x = 75,980.89

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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.