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Finding the Fourth Proportional to 100,079.90, 138,109.02 and 54,757.32

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Solution

The fourth proportional to 100,079.90, 138,109.02 and 54,757.32 is: 75,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,079.90 : 138,109.02 = 54,757.32 : x
  2. Step 2: Convert to fraction form
    100,079.90/138,109.02 = 54,757.32/x
  3. Step 3: Cross multiply
    100,079.90x = 138,109.02 × 54,757.32
  4. Step 4: Simplify right side
    100,079.90x = 7,562,479,803.03
  5. Step 5: Solve for x
    x = 7,562,479,803.03/100,079.90
  6. Step 6: Final answer
    x = 75,564.42

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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.