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Finding the Fourth Proportional to 150,689.52, 207,950.67 and 82,704.78

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Solution

The fourth proportional to 150,689.52, 207,950.67 and 82,704.78 is: 114,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,689.52 : 207,950.67 = 82,704.78 : x
  2. Step 2: Convert to fraction form
    150,689.52/207,950.67 = 82,704.78/x
  3. Step 3: Cross multiply
    150,689.52x = 207,950.67 × 82,704.78
  4. Step 4: Simplify right side
    150,689.52x = 17,198,514,413.20
  5. Step 5: Solve for x
    x = 17,198,514,413.20/150,689.52
  6. Step 6: Final answer
    x = 114,132.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.