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Finding the Fourth Proportional to 139,594.21, 209,512.20 and 73,080.86

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Solution

The fourth proportional to 139,594.21, 209,512.20 and 73,080.86 is: 109,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,594.21 : 209,512.20 = 73,080.86 : x
  2. Step 2: Convert to fraction form
    139,594.21/209,512.20 = 73,080.86/x
  3. Step 3: Cross multiply
    139,594.21x = 209,512.20 × 73,080.86
  4. Step 4: Simplify right side
    139,594.21x = 15,311,331,756.49
  5. Step 5: Solve for x
    x = 15,311,331,756.49/139,594.21
  6. Step 6: Final answer
    x = 109,684.58

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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.