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Finding the Fourth Proportional to 139,909.41, 209,866.68 and 51,162.84

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Solution

The fourth proportional to 139,909.41, 209,866.68 and 51,162.84 is: 76,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,909.41 : 209,866.68 = 51,162.84 : x
  2. Step 2: Convert to fraction form
    139,909.41/209,866.68 = 51,162.84/x
  3. Step 3: Cross multiply
    139,909.41x = 209,866.68 × 51,162.84
  4. Step 4: Simplify right side
    139,909.41x = 10,737,375,370.17
  5. Step 5: Solve for x
    x = 10,737,375,370.17/139,909.41
  6. Step 6: Final answer
    x = 76,745.20

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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.