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Finding the Fourth Proportional to 208,190, 312,293.64 and 60,446

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Solution

The fourth proportional to 208,190, 312,293.64 and 60,446 is: 90,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,190 : 312,293.64 = 60,446 : x
  2. Step 2: Convert to fraction form
    208,190/312,293.64 = 60,446/x
  3. Step 3: Cross multiply
    208,190x = 312,293.64 × 60,446
  4. Step 4: Simplify right side
    208,190x = 18,876,901,363.44
  5. Step 5: Solve for x
    x = 18,876,901,363.44/208,190
  6. Step 6: Final answer
    x = 90,671.51

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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.