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Finding the Fourth Proportional to 57,111.80, 85,674.10 and 17,668.60

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Solution

The fourth proportional to 57,111.80, 85,674.10 and 17,668.60 is: 26,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.80 : 85,674.10 = 17,668.60 : x
  2. Step 2: Convert to fraction form
    57,111.80/85,674.10 = 17,668.60/x
  3. Step 3: Cross multiply
    57,111.80x = 85,674.10 × 17,668.60
  4. Step 4: Simplify right side
    57,111.80x = 1,513,741,403.26
  5. Step 5: Solve for x
    x = 1,513,741,403.26/57,111.80
  6. Step 6: Final answer
    x = 26,504.88

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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.