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Finding the Fourth Proportional to 212,208, 292,861.44 and 122,784

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Solution

The fourth proportional to 212,208, 292,861.44 and 122,784 is: 169,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,208 : 292,861.44 = 122,784 : x
  2. Step 2: Convert to fraction form
    212,208/292,861.44 = 122,784/x
  3. Step 3: Cross multiply
    212,208x = 292,861.44 × 122,784
  4. Step 4: Simplify right side
    212,208x = 35,958,699,048.96
  5. Step 5: Solve for x
    x = 35,958,699,048.96/212,208
  6. Step 6: Final answer
    x = 169,450.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.