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Finding the Fourth Proportional to 126,873.84, 190,310.76 and 52,950

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Solution

The fourth proportional to 126,873.84, 190,310.76 and 52,950 is: 79,425

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,873.84 : 190,310.76 = 52,950 : x
  2. Step 2: Convert to fraction form
    126,873.84/190,310.76 = 52,950/x
  3. Step 3: Cross multiply
    126,873.84x = 190,310.76 × 52,950
  4. Step 4: Simplify right side
    126,873.84x = 10,076,954,742
  5. Step 5: Solve for x
    x = 10,076,954,742/126,873.84
  6. Step 6: Final answer
    x = 79,425

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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.