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Finding the Fourth Proportional to 139,420.62, 209,099.58 and 39,578.70

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Solution

The fourth proportional to 139,420.62, 209,099.58 and 39,578.70 is: 59,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,420.62 : 209,099.58 = 39,578.70 : x
  2. Step 2: Convert to fraction form
    139,420.62/209,099.58 = 39,578.70/x
  3. Step 3: Cross multiply
    139,420.62x = 209,099.58 × 39,578.70
  4. Step 4: Simplify right side
    139,420.62x = 8,275,889,546.95
  5. Step 5: Solve for x
    x = 8,275,889,546.95/139,420.62
  6. Step 6: Final answer
    x = 59,359.15

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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.