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Finding the Fourth Proportional to 106,687.50, 160,039.50 and 31,801.92

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Solution

The fourth proportional to 106,687.50, 160,039.50 and 31,801.92 is: 47,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,687.50 : 160,039.50 = 31,801.92 : x
  2. Step 2: Convert to fraction form
    106,687.50/160,039.50 = 31,801.92/x
  3. Step 3: Cross multiply
    106,687.50x = 160,039.50 × 31,801.92
  4. Step 4: Simplify right side
    106,687.50x = 5,089,563,375.84
  5. Step 5: Solve for x
    x = 5,089,563,375.84/106,687.50
  6. Step 6: Final answer
    x = 47,705.34

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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.