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Finding the Fourth Proportional to 57,144.66, 85,722.62 and 19,699.80

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Solution

The fourth proportional to 57,144.66, 85,722.62 and 19,699.80 is: 29,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.66 : 85,722.62 = 19,699.80 : x
  2. Step 2: Convert to fraction form
    57,144.66/85,722.62 = 19,699.80/x
  3. Step 3: Cross multiply
    57,144.66x = 85,722.62 × 19,699.80
  4. Step 4: Simplify right side
    57,144.66x = 1,688,718,370.98
  5. Step 5: Solve for x
    x = 1,688,718,370.98/57,144.66
  6. Step 6: Final answer
    x = 29,551.64

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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.