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Finding the Fourth Proportional to 223,091.42, 307,866.42 and 121,116.97

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Solution

The fourth proportional to 223,091.42, 307,866.42 and 121,116.97 is: 167,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,091.42 : 307,866.42 = 121,116.97 : x
  2. Step 2: Convert to fraction form
    223,091.42/307,866.42 = 121,116.97/x
  3. Step 3: Cross multiply
    223,091.42x = 307,866.42 × 121,116.97
  4. Step 4: Simplify right side
    223,091.42x = 37,287,848,339.98
  5. Step 5: Solve for x
    x = 37,287,848,339.98/223,091.42
  6. Step 6: Final answer
    x = 167,141.57

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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.