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Finding the Fourth Proportional to 139,978.15, 209,905.43 and 40,115.68

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Solution

The fourth proportional to 139,978.15, 209,905.43 and 40,115.68 is: 60,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,978.15 : 209,905.43 = 40,115.68 : x
  2. Step 2: Convert to fraction form
    139,978.15/209,905.43 = 40,115.68/x
  3. Step 3: Cross multiply
    139,978.15x = 209,905.43 × 40,115.68
  4. Step 4: Simplify right side
    139,978.15x = 8,420,498,334.80
  5. Step 5: Solve for x
    x = 8,420,498,334.80/139,978.15
  6. Step 6: Final answer
    x = 60,155.81

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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.