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Finding the Fourth Proportional to 208,588.86, 312,697.71 and 75,439.52

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Solution

The fourth proportional to 208,588.86, 312,697.71 and 75,439.52 is: 113,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,588.86 : 312,697.71 = 75,439.52 : x
  2. Step 2: Convert to fraction form
    208,588.86/312,697.71 = 75,439.52/x
  3. Step 3: Cross multiply
    208,588.86x = 312,697.71 × 75,439.52
  4. Step 4: Simplify right side
    208,588.86x = 23,589,763,584.01
  5. Step 5: Solve for x
    x = 23,589,763,584.01/208,588.86
  6. Step 6: Final answer
    x = 113,092.15

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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.