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Finding the Fourth Proportional to 187,295, 280,942.78 and 76,487

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Solution

The fourth proportional to 187,295, 280,942.78 and 76,487 is: 114,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,295 : 280,942.78 = 76,487 : x
  2. Step 2: Convert to fraction form
    187,295/280,942.78 = 76,487/x
  3. Step 3: Cross multiply
    187,295x = 280,942.78 × 76,487
  4. Step 4: Simplify right side
    187,295x = 21,488,470,413.86
  5. Step 5: Solve for x
    x = 21,488,470,413.86/187,295
  6. Step 6: Final answer
    x = 114,730.61

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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.