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Finding the Fourth Proportional to 189,039.43, 284,855.44 and 156,489.85

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Solution

The fourth proportional to 189,039.43, 284,855.44 and 156,489.85 is: 235,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,039.43 : 284,855.44 = 156,489.85 : x
  2. Step 2: Convert to fraction form
    189,039.43/284,855.44 = 156,489.85/x
  3. Step 3: Cross multiply
    189,039.43x = 284,855.44 × 156,489.85
  4. Step 4: Simplify right side
    189,039.43x = 44,576,985,077.28
  5. Step 5: Solve for x
    x = 44,576,985,077.28/189,039.43
  6. Step 6: Final answer
    x = 235,807.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.