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Finding the Fourth Proportional to 139,984.20, 209,451.42 and 77,698.44

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Solution

The fourth proportional to 139,984.20, 209,451.42 and 77,698.44 is: 116,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,984.20 : 209,451.42 = 77,698.44 : x
  2. Step 2: Convert to fraction form
    139,984.20/209,451.42 = 77,698.44/x
  3. Step 3: Cross multiply
    139,984.20x = 209,451.42 × 77,698.44
  4. Step 4: Simplify right side
    139,984.20x = 16,274,048,589.78
  5. Step 5: Solve for x
    x = 16,274,048,589.78/139,984.20
  6. Step 6: Final answer
    x = 116,256.32

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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.