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Finding the Fourth Proportional to 153,631, 212,010.78 and 82,975

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Solution

The fourth proportional to 153,631, 212,010.78 and 82,975 is: 114,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,631 : 212,010.78 = 82,975 : x
  2. Step 2: Convert to fraction form
    153,631/212,010.78 = 82,975/x
  3. Step 3: Cross multiply
    153,631x = 212,010.78 × 82,975
  4. Step 4: Simplify right side
    153,631x = 17,591,594,470.50
  5. Step 5: Solve for x
    x = 17,591,594,470.50/153,631
  6. Step 6: Final answer
    x = 114,505.50

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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.