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Finding the Fourth Proportional to 76,053.25, 114,079.89 and 20,649.25

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Solution

The fourth proportional to 76,053.25, 114,079.89 and 20,649.25 is: 30,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,053.25 : 114,079.89 = 20,649.25 : x
  2. Step 2: Convert to fraction form
    76,053.25/114,079.89 = 20,649.25/x
  3. Step 3: Cross multiply
    76,053.25x = 114,079.89 × 20,649.25
  4. Step 4: Simplify right side
    76,053.25x = 2,355,664,168.58
  5. Step 5: Solve for x
    x = 2,355,664,168.58/76,053.25
  6. Step 6: Final answer
    x = 30,973.88

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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.