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Finding the Fourth Proportional to 228,902.56, 315,856.26 and 126,927.30

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Solution

The fourth proportional to 228,902.56, 315,856.26 and 126,927.30 is: 175,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,902.56 : 315,856.26 = 126,927.30 : x
  2. Step 2: Convert to fraction form
    228,902.56/315,856.26 = 126,927.30/x
  3. Step 3: Cross multiply
    228,902.56x = 315,856.26 × 126,927.30
  4. Step 4: Simplify right side
    228,902.56x = 40,090,783,454.36
  5. Step 5: Solve for x
    x = 40,090,783,454.36/228,902.56
  6. Step 6: Final answer
    x = 175,143.45

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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.