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Finding the Fourth Proportional to 78,796.86, 108,728.91 and 45,262.86

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Solution

The fourth proportional to 78,796.86, 108,728.91 and 45,262.86 is: 62,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,796.86 : 108,728.91 = 45,262.86 : x
  2. Step 2: Convert to fraction form
    78,796.86/108,728.91 = 45,262.86/x
  3. Step 3: Cross multiply
    78,796.86x = 108,728.91 × 45,262.86
  4. Step 4: Simplify right side
    78,796.86x = 4,921,381,431.28
  5. Step 5: Solve for x
    x = 4,921,381,431.28/78,796.86
  6. Step 6: Final answer
    x = 62,456.57

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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.