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Finding the Fourth Proportional to 57,215, 85,835.48 and 20,279

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Solution

The fourth proportional to 57,215, 85,835.48 and 20,279 is: 30,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,215 : 85,835.48 = 20,279 : x
  2. Step 2: Convert to fraction form
    57,215/85,835.48 = 20,279/x
  3. Step 3: Cross multiply
    57,215x = 85,835.48 × 20,279
  4. Step 4: Simplify right side
    57,215x = 1,740,657,698.92
  5. Step 5: Solve for x
    x = 1,740,657,698.92/57,215
  6. Step 6: Final answer
    x = 30,423.10

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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.