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Finding the Fourth Proportional to 78,161.46, 107,864.82 and 47,963.47

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Solution

The fourth proportional to 78,161.46, 107,864.82 and 47,963.47 is: 66,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.46 : 107,864.82 = 47,963.47 : x
  2. Step 2: Convert to fraction form
    78,161.46/107,864.82 = 47,963.47/x
  3. Step 3: Cross multiply
    78,161.46x = 107,864.82 × 47,963.47
  4. Step 4: Simplify right side
    78,161.46x = 5,173,571,058.13
  5. Step 5: Solve for x
    x = 5,173,571,058.13/78,161.46
  6. Step 6: Final answer
    x = 66,190.82

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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.