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Finding the Fourth Proportional to 205,235.97, 307,864.32 and 78,831.90

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Solution

The fourth proportional to 205,235.97, 307,864.32 and 78,831.90 is: 118,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,235.97 : 307,864.32 = 78,831.90 : x
  2. Step 2: Convert to fraction form
    205,235.97/307,864.32 = 78,831.90/x
  3. Step 3: Cross multiply
    205,235.97x = 307,864.32 × 78,831.90
  4. Step 4: Simplify right side
    205,235.97x = 24,269,527,748.49
  5. Step 5: Solve for x
    x = 24,269,527,748.49/205,235.97
  6. Step 6: Final answer
    x = 118,251.83

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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.