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Finding the Fourth Proportional to 139,884.20, 209,913.78 and 56,778.20

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Solution

The fourth proportional to 139,884.20, 209,913.78 and 56,778.20 is: 85,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,884.20 : 209,913.78 = 56,778.20 : x
  2. Step 2: Convert to fraction form
    139,884.20/209,913.78 = 56,778.20/x
  3. Step 3: Cross multiply
    139,884.20x = 209,913.78 × 56,778.20
  4. Step 4: Simplify right side
    139,884.20x = 11,918,526,583.60
  5. Step 5: Solve for x
    x = 11,918,526,583.60/139,884.20
  6. Step 6: Final answer
    x = 85,202.81

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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.