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Finding the Fourth Proportional to 228,085.94, 314,745.90 and 126,105.50

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Solution

The fourth proportional to 228,085.94, 314,745.90 and 126,105.50 is: 174,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,085.94 : 314,745.90 = 126,105.50 : x
  2. Step 2: Convert to fraction form
    228,085.94/314,745.90 = 126,105.50/x
  3. Step 3: Cross multiply
    228,085.94x = 314,745.90 × 126,105.50
  4. Step 4: Simplify right side
    228,085.94x = 39,691,189,092.45
  5. Step 5: Solve for x
    x = 39,691,189,092.45/228,085.94
  6. Step 6: Final answer
    x = 174,018.57

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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.