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Finding the Fourth Proportional to 139,000.88, 191,821.12 and 75,338.64

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Solution

The fourth proportional to 139,000.88, 191,821.12 and 75,338.64 is: 103,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,000.88 : 191,821.12 = 75,338.64 : x
  2. Step 2: Convert to fraction form
    139,000.88/191,821.12 = 75,338.64/x
  3. Step 3: Cross multiply
    139,000.88x = 191,821.12 × 75,338.64
  4. Step 4: Simplify right side
    139,000.88x = 14,451,542,304.08
  5. Step 5: Solve for x
    x = 14,451,542,304.08/139,000.88
  6. Step 6: Final answer
    x = 103,967.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.