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Finding the Fourth Proportional to 189,495.62, 284,093.49 and 71,153.78

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Solution

The fourth proportional to 189,495.62, 284,093.49 and 71,153.78 is: 106,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,495.62 : 284,093.49 = 71,153.78 : x
  2. Step 2: Convert to fraction form
    189,495.62/284,093.49 = 71,153.78/x
  3. Step 3: Cross multiply
    189,495.62x = 284,093.49 × 71,153.78
  4. Step 4: Simplify right side
    189,495.62x = 20,214,325,686.89
  5. Step 5: Solve for x
    x = 20,214,325,686.89/189,495.62
  6. Step 6: Final answer
    x = 106,674.37

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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.