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Finding the Fourth Proportional to 301,139.70, 451,707.42 and 76,500.78

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Solution

The fourth proportional to 301,139.70, 451,707.42 and 76,500.78 is: 114,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,139.70 : 451,707.42 = 76,500.78 : x
  2. Step 2: Convert to fraction form
    301,139.70/451,707.42 = 76,500.78/x
  3. Step 3: Cross multiply
    301,139.70x = 451,707.42 × 76,500.78
  4. Step 4: Simplify right side
    301,139.70x = 34,555,969,961.79
  5. Step 5: Solve for x
    x = 34,555,969,961.79/301,139.70
  6. Step 6: Final answer
    x = 114,750.63

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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.