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Finding the Fourth Proportional to 57,144.15, 85,721.86 and 19,699.29

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Solution

The fourth proportional to 57,144.15, 85,721.86 and 19,699.29 is: 29,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.15 : 85,721.86 = 19,699.29 : x
  2. Step 2: Convert to fraction form
    57,144.15/85,721.86 = 19,699.29/x
  3. Step 3: Cross multiply
    57,144.15x = 85,721.86 × 19,699.29
  4. Step 4: Simplify right side
    57,144.15x = 1,688,659,804.10
  5. Step 5: Solve for x
    x = 1,688,659,804.10/57,144.15
  6. Step 6: Final answer
    x = 29,550.88

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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.