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Finding the Fourth Proportional to 256,791.52, 354,372.06 and 143,614

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Solution

The fourth proportional to 256,791.52, 354,372.06 and 143,614 is: 198,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,791.52 : 354,372.06 = 143,614 : x
  2. Step 2: Convert to fraction form
    256,791.52/354,372.06 = 143,614/x
  3. Step 3: Cross multiply
    256,791.52x = 354,372.06 × 143,614
  4. Step 4: Simplify right side
    256,791.52x = 50,892,789,024.84
  5. Step 5: Solve for x
    x = 50,892,789,024.84/256,791.52
  6. Step 6: Final answer
    x = 198,187.19

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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.