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Finding the Fourth Proportional to 208,408.60, 312,612.90 and 68,133.40

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Solution

The fourth proportional to 208,408.60, 312,612.90 and 68,133.40 is: 102,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,408.60 : 312,612.90 = 68,133.40 : x
  2. Step 2: Convert to fraction form
    208,408.60/312,612.90 = 68,133.40/x
  3. Step 3: Cross multiply
    208,408.60x = 312,612.90 × 68,133.40
  4. Step 4: Simplify right side
    208,408.60x = 21,299,379,760.86
  5. Step 5: Solve for x
    x = 21,299,379,760.86/208,408.60
  6. Step 6: Final answer
    x = 102,200.10

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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.