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Finding the Fourth Proportional to 139,039.20, 208,558.80 and 75,834.90

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Solution

The fourth proportional to 139,039.20, 208,558.80 and 75,834.90 is: 113,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,039.20 : 208,558.80 = 75,834.90 : x
  2. Step 2: Convert to fraction form
    139,039.20/208,558.80 = 75,834.90/x
  3. Step 3: Cross multiply
    139,039.20x = 208,558.80 × 75,834.90
  4. Step 4: Simplify right side
    139,039.20x = 15,816,035,742.12
  5. Step 5: Solve for x
    x = 15,816,035,742.12/139,039.20
  6. Step 6: Final answer
    x = 113,752.35

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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.