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Finding the Fourth Proportional to 189,893, 284,840.12 and 71,532.56

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Solution

The fourth proportional to 189,893, 284,840.12 and 71,532.56 is: 107,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,893 : 284,840.12 = 71,532.56 : x
  2. Step 2: Convert to fraction form
    189,893/284,840.12 = 71,532.56/x
  3. Step 3: Cross multiply
    189,893x = 284,840.12 × 71,532.56
  4. Step 4: Simplify right side
    189,893x = 20,375,342,974.31
  5. Step 5: Solve for x
    x = 20,375,342,974.31/189,893
  6. Step 6: Final answer
    x = 107,299.07

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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.