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Finding the Fourth Proportional to 155,911.70, 233,936.40 and 75,905.30

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Solution

The fourth proportional to 155,911.70, 233,936.40 and 75,905.30 is: 113,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,911.70 : 233,936.40 = 75,905.30 : x
  2. Step 2: Convert to fraction form
    155,911.70/233,936.40 = 75,905.30/x
  3. Step 3: Cross multiply
    155,911.70x = 233,936.40 × 75,905.30
  4. Step 4: Simplify right side
    155,911.70x = 17,757,012,622.92
  5. Step 5: Solve for x
    x = 17,757,012,622.92/155,911.70
  6. Step 6: Final answer
    x = 113,891.47

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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.