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Finding the Fourth Proportional to 78,160.43, 107,879.10 and 44,188.58

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Solution

The fourth proportional to 78,160.43, 107,879.10 and 44,188.58 is: 60,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160.43 : 107,879.10 = 44,188.58 : x
  2. Step 2: Convert to fraction form
    78,160.43/107,879.10 = 44,188.58/x
  3. Step 3: Cross multiply
    78,160.43x = 107,879.10 × 44,188.58
  4. Step 4: Simplify right side
    78,160.43x = 4,767,024,240.68
  5. Step 5: Solve for x
    x = 4,767,024,240.68/78,160.43
  6. Step 6: Final answer
    x = 60,990.25

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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.