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Finding the Fourth Proportional to 205,880.08, 308,816.76 and 81,222.16

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Solution

The fourth proportional to 205,880.08, 308,816.76 and 81,222.16 is: 121,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,880.08 : 308,816.76 = 81,222.16 : x
  2. Step 2: Convert to fraction form
    205,880.08/308,816.76 = 81,222.16/x
  3. Step 3: Cross multiply
    205,880.08x = 308,816.76 × 81,222.16
  4. Step 4: Simplify right side
    205,880.08x = 25,082,764,291.40
  5. Step 5: Solve for x
    x = 25,082,764,291.40/205,880.08
  6. Step 6: Final answer
    x = 121,831.91

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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.