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Finding the Fourth Proportional to 78,403.92, 108,193.30 and 42,593.82

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Solution

The fourth proportional to 78,403.92, 108,193.30 and 42,593.82 is: 58,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,403.92 : 108,193.30 = 42,593.82 : x
  2. Step 2: Convert to fraction form
    78,403.92/108,193.30 = 42,593.82/x
  3. Step 3: Cross multiply
    78,403.92x = 108,193.30 × 42,593.82
  4. Step 4: Simplify right side
    78,403.92x = 4,608,365,945.41
  5. Step 5: Solve for x
    x = 4,608,365,945.41/78,403.92
  6. Step 6: Final answer
    x = 58,777.24

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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.