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Finding the Fourth Proportional to 192,642.75, 288,841.10 and 92,603.90

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Solution

The fourth proportional to 192,642.75, 288,841.10 and 92,603.90 is: 138,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,642.75 : 288,841.10 = 92,603.90 : x
  2. Step 2: Convert to fraction form
    192,642.75/288,841.10 = 92,603.90/x
  3. Step 3: Cross multiply
    192,642.75x = 288,841.10 × 92,603.90
  4. Step 4: Simplify right side
    192,642.75x = 26,747,810,433.07
  5. Step 5: Solve for x
    x = 26,747,810,433.07/192,642.75
  6. Step 6: Final answer
    x = 138,846.70

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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.