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Finding the Fourth Proportional to 213,377.83, 319,858.72 and 85,255.92

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Solution

The fourth proportional to 213,377.83, 319,858.72 and 85,255.92 is: 127,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,377.83 : 319,858.72 = 85,255.92 : x
  2. Step 2: Convert to fraction form
    213,377.83/319,858.72 = 85,255.92/x
  3. Step 3: Cross multiply
    213,377.83x = 319,858.72 × 85,255.92
  4. Step 4: Simplify right side
    213,377.83x = 27,269,849,230.48
  5. Step 5: Solve for x
    x = 27,269,849,230.48/213,377.83
  6. Step 6: Final answer
    x = 127,800.76

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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.