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Finding the Fourth Proportional to 57,129.30, 85,696.38 and 17,687.16

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Solution

The fourth proportional to 57,129.30, 85,696.38 and 17,687.16 is: 26,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.30 : 85,696.38 = 17,687.16 : x
  2. Step 2: Convert to fraction form
    57,129.30/85,696.38 = 17,687.16/x
  3. Step 3: Cross multiply
    57,129.30x = 85,696.38 × 17,687.16
  4. Step 4: Simplify right side
    57,129.30x = 1,515,725,584.48
  5. Step 5: Solve for x
    x = 1,515,725,584.48/57,129.30
  6. Step 6: Final answer
    x = 26,531.49

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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.