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Finding the Fourth Proportional to 139,029.74, 191,793.39 and 82,401.02

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Solution

The fourth proportional to 139,029.74, 191,793.39 and 82,401.02 is: 113,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029.74 : 191,793.39 = 82,401.02 : x
  2. Step 2: Convert to fraction form
    139,029.74/191,793.39 = 82,401.02/x
  3. Step 3: Cross multiply
    139,029.74x = 191,793.39 × 82,401.02
  4. Step 4: Simplify right side
    139,029.74x = 15,803,970,965.26
  5. Step 5: Solve for x
    x = 15,803,970,965.26/139,029.74
  6. Step 6: Final answer
    x = 113,673.31

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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.