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Finding the Fourth Proportional to 189,393.26, 284,016.06 and 71,000

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Solution

The fourth proportional to 189,393.26, 284,016.06 and 71,000 is: 106,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,393.26 : 284,016.06 = 71,000 : x
  2. Step 2: Convert to fraction form
    189,393.26/284,016.06 = 71,000/x
  3. Step 3: Cross multiply
    189,393.26x = 284,016.06 × 71,000
  4. Step 4: Simplify right side
    189,393.26x = 20,165,140,260
  5. Step 5: Solve for x
    x = 20,165,140,260/189,393.26
  6. Step 6: Final answer
    x = 106,472.32

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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.