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Finding the Fourth Proportional to 57,183, 85,780.46 and 15,630.04

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Solution

The fourth proportional to 57,183, 85,780.46 and 15,630.04 is: 23,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,183 : 85,780.46 = 15,630.04 : x
  2. Step 2: Convert to fraction form
    57,183/85,780.46 = 15,630.04/x
  3. Step 3: Cross multiply
    57,183x = 85,780.46 × 15,630.04
  4. Step 4: Simplify right side
    57,183x = 1,340,752,021.02
  5. Step 5: Solve for x
    x = 1,340,752,021.02/57,183
  6. Step 6: Final answer
    x = 23,446.69

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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.