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Finding the Fourth Proportional to 228,086.28, 314,746.40 and 126,105.78

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Solution

The fourth proportional to 228,086.28, 314,746.40 and 126,105.78 is: 174,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,086.28 : 314,746.40 = 126,105.78 : x
  2. Step 2: Convert to fraction form
    228,086.28/314,746.40 = 126,105.78/x
  3. Step 3: Cross multiply
    228,086.28x = 314,746.40 × 126,105.78
  4. Step 4: Simplify right side
    228,086.28x = 39,691,340,274.19
  5. Step 5: Solve for x
    x = 39,691,340,274.19/228,086.28
  6. Step 6: Final answer
    x = 174,018.97

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1.5x scale

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.