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Finding the Fourth Proportional to 106,996.30, 160,433.70 and 40,438.60

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Solution

The fourth proportional to 106,996.30, 160,433.70 and 40,438.60 is: 60,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,996.30 : 160,433.70 = 40,438.60 : x
  2. Step 2: Convert to fraction form
    106,996.30/160,433.70 = 40,438.60/x
  3. Step 3: Cross multiply
    106,996.30x = 160,433.70 × 40,438.60
  4. Step 4: Simplify right side
    106,996.30x = 6,487,714,220.82
  5. Step 5: Solve for x
    x = 6,487,714,220.82/106,996.30
  6. Step 6: Final answer
    x = 60,634.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.