Home / 106,721.02-160,105.30-31,842.46

Finding the Fourth Proportional to 106,721.02, 160,105.30 and 31,842.46

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Solution

The fourth proportional to 106,721.02, 160,105.30 and 31,842.46 is: 47,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,721.02 : 160,105.30 = 31,842.46 : x
  2. Step 2: Convert to fraction form
    106,721.02/160,105.30 = 31,842.46/x
  3. Step 3: Cross multiply
    106,721.02x = 160,105.30 × 31,842.46
  4. Step 4: Simplify right side
    106,721.02x = 5,098,146,611.04
  5. Step 5: Solve for x
    x = 5,098,146,611.04/106,721.02
  6. Step 6: Final answer
    x = 47,770.78

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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.