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Finding the Fourth Proportional to 228,753.68, 315,692.64 and 126,777

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Solution

The fourth proportional to 228,753.68, 315,692.64 and 126,777 is: 174,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,753.68 : 315,692.64 = 126,777 : x
  2. Step 2: Convert to fraction form
    228,753.68/315,692.64 = 126,777/x
  3. Step 3: Cross multiply
    228,753.68x = 315,692.64 × 126,777
  4. Step 4: Simplify right side
    228,753.68x = 40,022,565,821.28
  5. Step 5: Solve for x
    x = 40,022,565,821.28/228,753.68
  6. Step 6: Final answer
    x = 174,959.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.