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Finding the Fourth Proportional to 57,228.56, 85,829.72 and 15,678.80

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Solution

The fourth proportional to 57,228.56, 85,829.72 and 15,678.80 is: 23,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,228.56 : 85,829.72 = 15,678.80 : x
  2. Step 2: Convert to fraction form
    57,228.56/85,829.72 = 15,678.80/x
  3. Step 3: Cross multiply
    57,228.56x = 85,829.72 × 15,678.80
  4. Step 4: Simplify right side
    57,228.56x = 1,345,707,013.94
  5. Step 5: Solve for x
    x = 1,345,707,013.94/57,228.56
  6. Step 6: Final answer
    x = 23,514.61

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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.