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Finding the Fourth Proportional to 107,099.20, 160,821.60 and 80,833.60

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Solution

The fourth proportional to 107,099.20, 160,821.60 and 80,833.60 is: 121,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,099.20 : 160,821.60 = 80,833.60 : x
  2. Step 2: Convert to fraction form
    107,099.20/160,821.60 = 80,833.60/x
  3. Step 3: Cross multiply
    107,099.20x = 160,821.60 × 80,833.60
  4. Step 4: Simplify right side
    107,099.20x = 12,999,788,885.76
  5. Step 5: Solve for x
    x = 12,999,788,885.76/107,099.20
  6. Step 6: Final answer
    x = 121,380.82

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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.