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Finding the Fourth Proportional to 101,170.86, 151,756.20 and 30,093.21

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Solution

The fourth proportional to 101,170.86, 151,756.20 and 30,093.21 is: 45,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,170.86 : 151,756.20 = 30,093.21 : x
  2. Step 2: Convert to fraction form
    101,170.86/151,756.20 = 30,093.21/x
  3. Step 3: Cross multiply
    101,170.86x = 151,756.20 × 30,093.21
  4. Step 4: Simplify right side
    101,170.86x = 4,566,831,195.40
  5. Step 5: Solve for x
    x = 4,566,831,195.40/101,170.86
  6. Step 6: Final answer
    x = 45,139.79

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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.