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Finding the Fourth Proportional to 189,882.79, 284,575.02 and 139,728.04

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Solution

The fourth proportional to 189,882.79, 284,575.02 and 139,728.04 is: 209,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,882.79 : 284,575.02 = 139,728.04 : x
  2. Step 2: Convert to fraction form
    189,882.79/284,575.02 = 139,728.04/x
  3. Step 3: Cross multiply
    189,882.79x = 284,575.02 × 139,728.04
  4. Step 4: Simplify right side
    189,882.79x = 39,763,109,777.56
  5. Step 5: Solve for x
    x = 39,763,109,777.56/189,882.79
  6. Step 6: Final answer
    x = 209,408.71

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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.