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Finding the Fourth Proportional to 57,149.57, 85,728.47 and 19,709.11

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Solution

The fourth proportional to 57,149.57, 85,728.47 and 19,709.11 is: 29,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.57 : 85,728.47 = 19,709.11 : x
  2. Step 2: Convert to fraction form
    57,149.57/85,728.47 = 19,709.11/x
  3. Step 3: Cross multiply
    57,149.57x = 85,728.47 × 19,709.11
  4. Step 4: Simplify right side
    57,149.57x = 1,689,631,845.36
  5. Step 5: Solve for x
    x = 1,689,631,845.36/57,149.57
  6. Step 6: Final answer
    x = 29,565.08

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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.