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Finding the Fourth Proportional to 57,144.75, 85,722.76 and 19,699.89

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Solution

The fourth proportional to 57,144.75, 85,722.76 and 19,699.89 is: 29,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.75 : 85,722.76 = 19,699.89 : x
  2. Step 2: Convert to fraction form
    57,144.75/85,722.76 = 19,699.89/x
  3. Step 3: Cross multiply
    57,144.75x = 85,722.76 × 19,699.89
  4. Step 4: Simplify right side
    57,144.75x = 1,688,728,629.69
  5. Step 5: Solve for x
    x = 1,688,728,629.69/57,144.75
  6. Step 6: Final answer
    x = 29,551.77

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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.