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Finding the Fourth Proportional to 57,766.71, 86,654.93 and 20,322.84

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Solution

The fourth proportional to 57,766.71, 86,654.93 and 20,322.84 is: 30,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,766.71 : 86,654.93 = 20,322.84 : x
  2. Step 2: Convert to fraction form
    57,766.71/86,654.93 = 20,322.84/x
  3. Step 3: Cross multiply
    57,766.71x = 86,654.93 × 20,322.84
  4. Step 4: Simplify right side
    57,766.71x = 1,761,074,175.99
  5. Step 5: Solve for x
    x = 1,761,074,175.99/57,766.71
  6. Step 6: Final answer
    x = 30,485.97

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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.