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Finding the Fourth Proportional to 231,936.80, 347,905.20 and 158,208.80

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Solution

The fourth proportional to 231,936.80, 347,905.20 and 158,208.80 is: 237,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,936.80 : 347,905.20 = 158,208.80 : x
  2. Step 2: Convert to fraction form
    231,936.80/347,905.20 = 158,208.80/x
  3. Step 3: Cross multiply
    231,936.80x = 347,905.20 × 158,208.80
  4. Step 4: Simplify right side
    231,936.80x = 55,041,664,205.76
  5. Step 5: Solve for x
    x = 55,041,664,205.76/231,936.80
  6. Step 6: Final answer
    x = 237,313.20

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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.