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Finding the Fourth Proportional to 78,637.92, 117,956.16 and 31,879.68

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Solution

The fourth proportional to 78,637.92, 117,956.16 and 31,879.68 is: 47,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,637.92 : 117,956.16 = 31,879.68 : x
  2. Step 2: Convert to fraction form
    78,637.92/117,956.16 = 31,879.68/x
  3. Step 3: Cross multiply
    78,637.92x = 117,956.16 × 31,879.68
  4. Step 4: Simplify right side
    78,637.92x = 3,760,404,634.83
  5. Step 5: Solve for x
    x = 3,760,404,634.83/78,637.92
  6. Step 6: Final answer
    x = 47,819.23

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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.