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Finding the Fourth Proportional to 57,136.08, 85,699.32 and 19,696.08

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Solution

The fourth proportional to 57,136.08, 85,699.32 and 19,696.08 is: 29,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.08 : 85,699.32 = 19,696.08 : x
  2. Step 2: Convert to fraction form
    57,136.08/85,699.32 = 19,696.08/x
  3. Step 3: Cross multiply
    57,136.08x = 85,699.32 × 19,696.08
  4. Step 4: Simplify right side
    57,136.08x = 1,687,940,662.67
  5. Step 5: Solve for x
    x = 1,687,940,662.67/57,136.08
  6. Step 6: Final answer
    x = 29,542.47

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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.