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Finding the Fourth Proportional to 222,741, 307,382.64 and 122,141.16

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Solution

The fourth proportional to 222,741, 307,382.64 and 122,141.16 is: 168,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,741 : 307,382.64 = 122,141.16 : x
  2. Step 2: Convert to fraction form
    222,741/307,382.64 = 122,141.16/x
  3. Step 3: Cross multiply
    222,741x = 307,382.64 × 122,141.16
  4. Step 4: Simplify right side
    222,741x = 37,544,072,213.46
  5. Step 5: Solve for x
    x = 37,544,072,213.46/222,741
  6. Step 6: Final answer
    x = 168,554.83

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1.5x scale

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.