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Finding the Fourth Proportional to 85,894.38, 118,493.34 and 57,227.34

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Solution

The fourth proportional to 85,894.38, 118,493.34 and 57,227.34 is: 78,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894.38 : 118,493.34 = 57,227.34 : x
  2. Step 2: Convert to fraction form
    85,894.38/118,493.34 = 57,227.34/x
  3. Step 3: Cross multiply
    85,894.38x = 118,493.34 × 57,227.34
  4. Step 4: Simplify right side
    85,894.38x = 6,781,058,655.92
  5. Step 5: Solve for x
    x = 6,781,058,655.92/85,894.38
  6. Step 6: Final answer
    x = 78,946.48

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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.