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Finding the Fourth Proportional to 57,641.78, 86,462.49 and 20,201.79

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Solution

The fourth proportional to 57,641.78, 86,462.49 and 20,201.79 is: 30,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641.78 : 86,462.49 = 20,201.79 : x
  2. Step 2: Convert to fraction form
    57,641.78/86,462.49 = 20,201.79/x
  3. Step 3: Cross multiply
    57,641.78x = 86,462.49 × 20,201.79
  4. Step 4: Simplify right side
    57,641.78x = 1,746,697,065.86
  5. Step 5: Solve for x
    x = 1,746,697,065.86/57,641.78
  6. Step 6: Final answer
    x = 30,302.62

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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.