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Finding the Fourth Proportional to 78,480.83, 117,721.24 and 51,908.78

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Solution

The fourth proportional to 78,480.83, 117,721.24 and 51,908.78 is: 77,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.83 : 117,721.24 = 51,908.78 : x
  2. Step 2: Convert to fraction form
    78,480.83/117,721.24 = 51,908.78/x
  3. Step 3: Cross multiply
    78,480.83x = 117,721.24 × 51,908.78
  4. Step 4: Simplify right side
    78,480.83x = 6,110,765,359.88
  5. Step 5: Solve for x
    x = 6,110,765,359.88/78,480.83
  6. Step 6: Final answer
    x = 77,863.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.