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Finding the Fourth Proportional to 208,194, 312,299.64 and 60,450

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Solution

The fourth proportional to 208,194, 312,299.64 and 60,450 is: 90,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,194 : 312,299.64 = 60,450 : x
  2. Step 2: Convert to fraction form
    208,194/312,299.64 = 60,450/x
  3. Step 3: Cross multiply
    208,194x = 312,299.64 × 60,450
  4. Step 4: Simplify right side
    208,194x = 18,878,513,238
  5. Step 5: Solve for x
    x = 18,878,513,238/208,194
  6. Step 6: Final answer
    x = 90,677.51

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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.