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Finding the Fourth Proportional to 224,905.92, 310,361.44 and 129,443.36

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Solution

The fourth proportional to 224,905.92, 310,361.44 and 129,443.36 is: 178,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,905.92 : 310,361.44 = 129,443.36 : x
  2. Step 2: Convert to fraction form
    224,905.92/310,361.44 = 129,443.36/x
  3. Step 3: Cross multiply
    224,905.92x = 310,361.44 × 129,443.36
  4. Step 4: Simplify right side
    224,905.92x = 40,174,227,608.04
  5. Step 5: Solve for x
    x = 40,174,227,608.04/224,905.92
  6. Step 6: Final answer
    x = 178,626.81

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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.