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Finding the Fourth Proportional to 208,562.70, 312,844.05 and 68,325.90

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Solution

The fourth proportional to 208,562.70, 312,844.05 and 68,325.90 is: 102,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,562.70 : 312,844.05 = 68,325.90 : x
  2. Step 2: Convert to fraction form
    208,562.70/312,844.05 = 68,325.90/x
  3. Step 3: Cross multiply
    208,562.70x = 312,844.05 × 68,325.90
  4. Step 4: Simplify right side
    208,562.70x = 21,375,351,275.90
  5. Step 5: Solve for x
    x = 21,375,351,275.90/208,562.70
  6. Step 6: Final answer
    x = 102,488.85

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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.