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Finding the Fourth Proportional to 208,398, 312,761.04 and 107,191.92

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Solution

The fourth proportional to 208,398, 312,761.04 and 107,191.92 is: 160,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,398 : 312,761.04 = 107,191.92 : x
  2. Step 2: Convert to fraction form
    208,398/312,761.04 = 107,191.92/x
  3. Step 3: Cross multiply
    208,398x = 312,761.04 × 107,191.92
  4. Step 4: Simplify right side
    208,398x = 33,525,456,378.80
  5. Step 5: Solve for x
    x = 33,525,456,378.80/208,398
  6. Step 6: Final answer
    x = 160,872.26

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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.