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Finding the Fourth Proportional to 57,981.72, 86,950.31 and 20,534.88

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Solution

The fourth proportional to 57,981.72, 86,950.31 and 20,534.88 is: 30,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,981.72 : 86,950.31 = 20,534.88 : x
  2. Step 2: Convert to fraction form
    57,981.72/86,950.31 = 20,534.88/x
  3. Step 3: Cross multiply
    57,981.72x = 86,950.31 × 20,534.88
  4. Step 4: Simplify right side
    57,981.72x = 1,785,514,181.81
  5. Step 5: Solve for x
    x = 1,785,514,181.81/57,981.72
  6. Step 6: Final answer
    x = 30,794.43

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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.