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Finding the Fourth Proportional to 57,141.81, 85,696.17 and 17,159.18

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Solution

The fourth proportional to 57,141.81, 85,696.17 and 17,159.18 is: 25,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.81 : 85,696.17 = 17,159.18 : x
  2. Step 2: Convert to fraction form
    57,141.81/85,696.17 = 17,159.18/x
  3. Step 3: Cross multiply
    57,141.81x = 85,696.17 × 17,159.18
  4. Step 4: Simplify right side
    57,141.81x = 1,470,476,220.58
  5. Step 5: Solve for x
    x = 1,470,476,220.58/57,141.81
  6. Step 6: Final answer
    x = 25,733.80

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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.