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Finding the Fourth Proportional to 212,712.80, 319,069.20 and 107,736.80

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Solution

The fourth proportional to 212,712.80, 319,069.20 and 107,736.80 is: 161,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,712.80 : 319,069.20 = 107,736.80 : x
  2. Step 2: Convert to fraction form
    212,712.80/319,069.20 = 107,736.80/x
  3. Step 3: Cross multiply
    212,712.80x = 319,069.20 × 107,736.80
  4. Step 4: Simplify right side
    212,712.80x = 34,375,494,586.56
  5. Step 5: Solve for x
    x = 34,375,494,586.56/212,712.80
  6. Step 6: Final answer
    x = 161,605.20

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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.