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Finding the Fourth Proportional to 138,843.64, 191,602.74 and 75,180.52

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Solution

The fourth proportional to 138,843.64, 191,602.74 and 75,180.52 is: 103,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,843.64 : 191,602.74 = 75,180.52 : x
  2. Step 2: Convert to fraction form
    138,843.64/191,602.74 = 75,180.52/x
  3. Step 3: Cross multiply
    138,843.64x = 191,602.74 × 75,180.52
  4. Step 4: Simplify right side
    138,843.64x = 14,404,793,626.62
  5. Step 5: Solve for x
    x = 14,404,793,626.62/138,843.64
  6. Step 6: Final answer
    x = 103,748.31

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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.