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Finding the Fourth Proportional to 76,053.75, 114,080.64 and 20,649.75

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Solution

The fourth proportional to 76,053.75, 114,080.64 and 20,649.75 is: 30,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,053.75 : 114,080.64 = 20,649.75 : x
  2. Step 2: Convert to fraction form
    76,053.75/114,080.64 = 20,649.75/x
  3. Step 3: Cross multiply
    76,053.75x = 114,080.64 × 20,649.75
  4. Step 4: Simplify right side
    76,053.75x = 2,355,736,695.84
  5. Step 5: Solve for x
    x = 2,355,736,695.84/76,053.75
  6. Step 6: Final answer
    x = 30,974.63

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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.