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Finding the Fourth Proportional to 247,878.14, 341,945.91 and 161,887.44

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Solution

The fourth proportional to 247,878.14, 341,945.91 and 161,887.44 is: 223,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,878.14 : 341,945.91 = 161,887.44 : x
  2. Step 2: Convert to fraction form
    247,878.14/341,945.91 = 161,887.44/x
  3. Step 3: Cross multiply
    247,878.14x = 341,945.91 × 161,887.44
  4. Step 4: Simplify right side
    247,878.14x = 55,356,749,270.67
  5. Step 5: Solve for x
    x = 55,356,749,270.67/247,878.14
  6. Step 6: Final answer
    x = 223,322.44

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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.