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Finding the Fourth Proportional to 213,263.76, 319,940.80 and 80,145.20

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Solution

The fourth proportional to 213,263.76, 319,940.80 and 80,145.20 is: 120,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,263.76 : 319,940.80 = 80,145.20 : x
  2. Step 2: Convert to fraction form
    213,263.76/319,940.80 = 80,145.20/x
  3. Step 3: Cross multiply
    213,263.76x = 319,940.80 × 80,145.20
  4. Step 4: Simplify right side
    213,263.76x = 25,641,719,404.16
  5. Step 5: Solve for x
    x = 25,641,719,404.16/213,263.76
  6. Step 6: Final answer
    x = 120,234.77

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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.