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Finding the Fourth Proportional to 212,728.80, 319,093.20 and 134,191.20

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Solution

The fourth proportional to 212,728.80, 319,093.20 and 134,191.20 is: 201,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,728.80 : 319,093.20 = 134,191.20 : x
  2. Step 2: Convert to fraction form
    212,728.80/319,093.20 = 134,191.20/x
  3. Step 3: Cross multiply
    212,728.80x = 319,093.20 × 134,191.20
  4. Step 4: Simplify right side
    212,728.80x = 42,819,499,419.84
  5. Step 5: Solve for x
    x = 42,819,499,419.84/212,728.80
  6. Step 6: Final answer
    x = 201,286.80

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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.