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Finding the Fourth Proportional to 139,993.80, 209,966.40 and 51,201.60

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Solution

The fourth proportional to 139,993.80, 209,966.40 and 51,201.60 is: 76,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,993.80 : 209,966.40 = 51,201.60 : x
  2. Step 2: Convert to fraction form
    139,993.80/209,966.40 = 51,201.60/x
  3. Step 3: Cross multiply
    139,993.80x = 209,966.40 × 51,201.60
  4. Step 4: Simplify right side
    139,993.80x = 10,750,615,626.24
  5. Step 5: Solve for x
    x = 10,750,615,626.24/139,993.80
  6. Step 6: Final answer
    x = 76,793.51

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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.