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Finding the Fourth Proportional to 84,580.35, 126,821.31 and 31,993.93

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Solution

The fourth proportional to 84,580.35, 126,821.31 and 31,993.93 is: 47,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580.35 : 126,821.31 = 31,993.93 : x
  2. Step 2: Convert to fraction form
    84,580.35/126,821.31 = 31,993.93/x
  3. Step 3: Cross multiply
    84,580.35x = 126,821.31 × 31,993.93
  4. Step 4: Simplify right side
    84,580.35x = 4,057,512,114.65
  5. Step 5: Solve for x
    x = 4,057,512,114.65/84,580.35
  6. Step 6: Final answer
    x = 47,972.28

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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.