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Finding the Fourth Proportional to 139,029.62, 208,046.21 and 120,374.10

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Solution

The fourth proportional to 139,029.62, 208,046.21 and 120,374.10 is: 180,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,029.62 : 208,046.21 = 120,374.10 : x
  2. Step 2: Convert to fraction form
    139,029.62/208,046.21 = 120,374.10/x
  3. Step 3: Cross multiply
    139,029.62x = 208,046.21 × 120,374.10
  4. Step 4: Simplify right side
    139,029.62x = 25,043,374,685.29
  5. Step 5: Solve for x
    x = 25,043,374,685.29/139,029.62
  6. Step 6: Final answer
    x = 180,129.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.