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Finding the Fourth Proportional to 189,609.26, 284,460.68 and 56,489

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Solution

The fourth proportional to 189,609.26, 284,460.68 and 56,489 is: 84,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,609.26 : 284,460.68 = 56,489 : x
  2. Step 2: Convert to fraction form
    189,609.26/284,460.68 = 56,489/x
  3. Step 3: Cross multiply
    189,609.26x = 284,460.68 × 56,489
  4. Step 4: Simplify right side
    189,609.26x = 16,068,899,352.52
  5. Step 5: Solve for x
    x = 16,068,899,352.52/189,609.26
  6. Step 6: Final answer
    x = 84,747.44

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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.