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Finding the Fourth Proportional to 139,040.20, 208,560.30 and 75,835.90

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Solution

The fourth proportional to 139,040.20, 208,560.30 and 75,835.90 is: 113,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,040.20 : 208,560.30 = 75,835.90 : x
  2. Step 2: Convert to fraction form
    139,040.20/208,560.30 = 75,835.90/x
  3. Step 3: Cross multiply
    139,040.20x = 208,560.30 × 75,835.90
  4. Step 4: Simplify right side
    139,040.20x = 15,816,358,054.77
  5. Step 5: Solve for x
    x = 15,816,358,054.77/139,040.20
  6. Step 6: Final answer
    x = 113,753.85

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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.