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Finding the Fourth Proportional to 208,314.30, 312,487.64 and 68,087.10

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Solution

The fourth proportional to 208,314.30, 312,487.64 and 68,087.10 is: 102,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314.30 : 312,487.64 = 68,087.10 : x
  2. Step 2: Convert to fraction form
    208,314.30/312,487.64 = 68,087.10/x
  3. Step 3: Cross multiply
    208,314.30x = 312,487.64 × 68,087.10
  4. Step 4: Simplify right side
    208,314.30x = 21,276,377,193.44
  5. Step 5: Solve for x
    x = 21,276,377,193.44/208,314.30
  6. Step 6: Final answer
    x = 102,135.94

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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.