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Finding the Fourth Proportional to 57,234.91, 85,864.64 and 19,287.92

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Solution

The fourth proportional to 57,234.91, 85,864.64 and 19,287.92 is: 28,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234.91 : 85,864.64 = 19,287.92 : x
  2. Step 2: Convert to fraction form
    57,234.91/85,864.64 = 19,287.92/x
  3. Step 3: Cross multiply
    57,234.91x = 85,864.64 × 19,287.92
  4. Step 4: Simplify right side
    57,234.91x = 1,656,150,307.15
  5. Step 5: Solve for x
    x = 1,656,150,307.15/57,234.91
  6. Step 6: Final answer
    x = 28,936.02

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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.