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Finding the Fourth Proportional to 139,462.94, 209,143.79 and 76,329.70

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Solution

The fourth proportional to 139,462.94, 209,143.79 and 76,329.70 is: 114,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,462.94 : 209,143.79 = 76,329.70 : x
  2. Step 2: Convert to fraction form
    139,462.94/209,143.79 = 76,329.70/x
  3. Step 3: Cross multiply
    139,462.94x = 209,143.79 × 76,329.70
  4. Step 4: Simplify right side
    139,462.94x = 15,963,882,747.56
  5. Step 5: Solve for x
    x = 15,963,882,747.56/139,462.94
  6. Step 6: Final answer
    x = 114,466.85

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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.