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Finding the Fourth Proportional to 100,611.96, 150,777.76 and 75,622.86

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Solution

The fourth proportional to 100,611.96, 150,777.76 and 75,622.86 is: 113,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611.96 : 150,777.76 = 75,622.86 : x
  2. Step 2: Convert to fraction form
    100,611.96/150,777.76 = 75,622.86/x
  3. Step 3: Cross multiply
    100,611.96x = 150,777.76 × 75,622.86
  4. Step 4: Simplify right side
    100,611.96x = 11,402,245,435.59
  5. Step 5: Solve for x
    x = 11,402,245,435.59/100,611.96
  6. Step 6: Final answer
    x = 113,328.93

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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.