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Finding the Fourth Proportional to 100,771.72, 151,113.80 and 30,634.63

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Solution

The fourth proportional to 100,771.72, 151,113.80 and 30,634.63 is: 45,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,771.72 : 151,113.80 = 30,634.63 : x
  2. Step 2: Convert to fraction form
    100,771.72/151,113.80 = 30,634.63/x
  3. Step 3: Cross multiply
    100,771.72x = 151,113.80 × 30,634.63
  4. Step 4: Simplify right side
    100,771.72x = 4,629,315,474.70
  5. Step 5: Solve for x
    x = 4,629,315,474.70/100,771.72
  6. Step 6: Final answer
    x = 45,938.64

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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.