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Finding the Fourth Proportional to 76,053.78, 114,080.67 and 20,649.78

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Solution

The fourth proportional to 76,053.78, 114,080.67 and 20,649.78 is: 30,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,053.78 : 114,080.67 = 20,649.78 : x
  2. Step 2: Convert to fraction form
    76,053.78/114,080.67 = 20,649.78/x
  3. Step 3: Cross multiply
    76,053.78x = 114,080.67 × 20,649.78
  4. Step 4: Simplify right side
    76,053.78x = 2,355,740,737.75
  5. Step 5: Solve for x
    x = 2,355,740,737.75/76,053.78
  6. Step 6: Final answer
    x = 30,974.67

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1.5x scale

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.