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Finding the Fourth Proportional to 212,902.38, 319,404.87 and 79,783.81

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Solution

The fourth proportional to 212,902.38, 319,404.87 and 79,783.81 is: 119,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.38 : 319,404.87 = 79,783.81 : x
  2. Step 2: Convert to fraction form
    212,902.38/319,404.87 = 79,783.81/x
  3. Step 3: Cross multiply
    212,902.38x = 319,404.87 × 79,783.81
  4. Step 4: Simplify right side
    212,902.38x = 25,483,336,662.64
  5. Step 5: Solve for x
    x = 25,483,336,662.64/212,902.38
  6. Step 6: Final answer
    x = 119,694.94

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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.