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Finding the Fourth Proportional to 189,616.61, 284,467.34 and 71,288.98

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Solution

The fourth proportional to 189,616.61, 284,467.34 and 71,288.98 is: 106,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,616.61 : 284,467.34 = 71,288.98 : x
  2. Step 2: Convert to fraction form
    189,616.61/284,467.34 = 71,288.98/x
  3. Step 3: Cross multiply
    189,616.61x = 284,467.34 × 71,288.98
  4. Step 4: Simplify right side
    189,616.61x = 20,279,386,511.91
  5. Step 5: Solve for x
    x = 20,279,386,511.91/189,616.61
  6. Step 6: Final answer
    x = 106,949.42

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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.