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Finding the Fourth Proportional to 78,832.74, 108,788.25 and 43,023.36

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Solution

The fourth proportional to 78,832.74, 108,788.25 and 43,023.36 is: 59,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,832.74 : 108,788.25 = 43,023.36 : x
  2. Step 2: Convert to fraction form
    78,832.74/108,788.25 = 43,023.36/x
  3. Step 3: Cross multiply
    78,832.74x = 108,788.25 × 43,023.36
  4. Step 4: Simplify right side
    78,832.74x = 4,680,436,043.52
  5. Step 5: Solve for x
    x = 4,680,436,043.52/78,832.74
  6. Step 6: Final answer
    x = 59,371.73

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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.