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Finding the Fourth Proportional to 205,831.48, 308,601.42 and 79,364.56

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Solution

The fourth proportional to 205,831.48, 308,601.42 and 79,364.56 is: 118,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,831.48 : 308,601.42 = 79,364.56 : x
  2. Step 2: Convert to fraction form
    205,831.48/308,601.42 = 79,364.56/x
  3. Step 3: Cross multiply
    205,831.48x = 308,601.42 × 79,364.56
  4. Step 4: Simplify right side
    205,831.48x = 24,492,015,913.68
  5. Step 5: Solve for x
    x = 24,492,015,913.68/205,831.48
  6. Step 6: Final answer
    x = 118,990.62

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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.