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Finding the Fourth Proportional to 213,172.09, 319,789.72 and 70,970.92

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Solution

The fourth proportional to 213,172.09, 319,789.72 and 70,970.92 is: 106,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,172.09 : 319,789.72 = 70,970.92 : x
  2. Step 2: Convert to fraction form
    213,172.09/319,789.72 = 70,970.92/x
  3. Step 3: Cross multiply
    213,172.09x = 319,789.72 × 70,970.92
  4. Step 4: Simplify right side
    213,172.09x = 22,695,770,634.94
  5. Step 5: Solve for x
    x = 22,695,770,634.94/213,172.09
  6. Step 6: Final answer
    x = 106,466.90

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1.5x scale

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.