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Finding the Fourth Proportional to 131,833.75, 197,820.35 and 71,905.49

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Solution

The fourth proportional to 131,833.75, 197,820.35 and 71,905.49 is: 107,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,833.75 : 197,820.35 = 71,905.49 : x
  2. Step 2: Convert to fraction form
    131,833.75/197,820.35 = 71,905.49/x
  3. Step 3: Cross multiply
    131,833.75x = 197,820.35 × 71,905.49
  4. Step 4: Simplify right side
    131,833.75x = 14,224,369,198.72
  5. Step 5: Solve for x
    x = 14,224,369,198.72/131,833.75
  6. Step 6: Final answer
    x = 107,896.26

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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.