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Finding the Fourth Proportional to 39,696.42, 54,778.05 and 21,788.58

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Solution

The fourth proportional to 39,696.42, 54,778.05 and 21,788.58 is: 30,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696.42 : 54,778.05 = 21,788.58 : x
  2. Step 2: Convert to fraction form
    39,696.42/54,778.05 = 21,788.58/x
  3. Step 3: Cross multiply
    39,696.42x = 54,778.05 × 21,788.58
  4. Step 4: Simplify right side
    39,696.42x = 1,193,535,924.67
  5. Step 5: Solve for x
    x = 1,193,535,924.67/39,696.42
  6. Step 6: Final answer
    x = 30,066.59

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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.