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Finding the Fourth Proportional to 57,830.62, 86,754.57 and 18,389.02

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Solution

The fourth proportional to 57,830.62, 86,754.57 and 18,389.02 is: 27,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,830.62 : 86,754.57 = 18,389.02 : x
  2. Step 2: Convert to fraction form
    57,830.62/86,754.57 = 18,389.02/x
  3. Step 3: Cross multiply
    57,830.62x = 86,754.57 × 18,389.02
  4. Step 4: Simplify right side
    57,830.62x = 1,595,331,236.98
  5. Step 5: Solve for x
    x = 1,595,331,236.98/57,830.62
  6. Step 6: Final answer
    x = 27,586.27

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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.