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Finding the Fourth Proportional to 225,894.40, 311,729.60 and 139,830.40

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Solution

The fourth proportional to 225,894.40, 311,729.60 and 139,830.40 is: 192,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,894.40 : 311,729.60 = 139,830.40 : x
  2. Step 2: Convert to fraction form
    225,894.40/311,729.60 = 139,830.40/x
  3. Step 3: Cross multiply
    225,894.40x = 311,729.60 × 139,830.40
  4. Step 4: Simplify right side
    225,894.40x = 43,589,274,659.84
  5. Step 5: Solve for x
    x = 43,589,274,659.84/225,894.40
  6. Step 6: Final answer
    x = 192,963.06

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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.