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Finding the Fourth Proportional to 213,231.82, 319,153.32 and 157,049.80

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Solution

The fourth proportional to 213,231.82, 319,153.32 and 157,049.80 is: 235,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,231.82 : 319,153.32 = 157,049.80 : x
  2. Step 2: Convert to fraction form
    213,231.82/319,153.32 = 157,049.80/x
  3. Step 3: Cross multiply
    213,231.82x = 319,153.32 × 157,049.80
  4. Step 4: Simplify right side
    213,231.82x = 50,122,965,075.34
  5. Step 5: Solve for x
    x = 50,122,965,075.34/213,231.82
  6. Step 6: Final answer
    x = 235,063.25

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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.