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Finding the Fourth Proportional to 213,379.83, 319,861.72 and 85,257.92

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Solution

The fourth proportional to 213,379.83, 319,861.72 and 85,257.92 is: 127,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,379.83 : 319,861.72 = 85,257.92 : x
  2. Step 2: Convert to fraction form
    213,379.83/319,861.72 = 85,257.92/x
  3. Step 3: Cross multiply
    213,379.83x = 319,861.72 × 85,257.92
  4. Step 4: Simplify right side
    213,379.83x = 27,270,744,934.82
  5. Step 5: Solve for x
    x = 27,270,744,934.82/213,379.83
  6. Step 6: Final answer
    x = 127,803.76

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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.