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Finding the Fourth Proportional to 139,062.25, 191,905.91 and 75,400.03

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Solution

The fourth proportional to 139,062.25, 191,905.91 and 75,400.03 is: 104,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,062.25 : 191,905.91 = 75,400.03 : x
  2. Step 2: Convert to fraction form
    139,062.25/191,905.91 = 75,400.03/x
  3. Step 3: Cross multiply
    139,062.25x = 191,905.91 × 75,400.03
  4. Step 4: Simplify right side
    139,062.25x = 14,469,711,371.18
  5. Step 5: Solve for x
    x = 14,469,711,371.18/139,062.25
  6. Step 6: Final answer
    x = 104,052.04

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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.