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Finding the Fourth Proportional to 78,161.03, 107,864.22 and 47,963.03

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Solution

The fourth proportional to 78,161.03, 107,864.22 and 47,963.03 is: 66,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.03 : 107,864.22 = 47,963.03 : x
  2. Step 2: Convert to fraction form
    78,161.03/107,864.22 = 47,963.03/x
  3. Step 3: Cross multiply
    78,161.03x = 107,864.22 × 47,963.03
  4. Step 4: Simplify right side
    78,161.03x = 5,173,494,819.79
  5. Step 5: Solve for x
    x = 5,173,494,819.79/78,161.03
  6. Step 6: Final answer
    x = 66,190.21

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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.