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Finding the Fourth Proportional to 223,109.86, 307,889.90 and 121,133.31

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Solution

The fourth proportional to 223,109.86, 307,889.90 and 121,133.31 is: 167,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.86 : 307,889.90 = 121,133.31 : x
  2. Step 2: Convert to fraction form
    223,109.86/307,889.90 = 121,133.31/x
  3. Step 3: Cross multiply
    223,109.86x = 307,889.90 × 121,133.31
  4. Step 4: Simplify right side
    223,109.86x = 37,295,722,702.57
  5. Step 5: Solve for x
    x = 37,295,722,702.57/223,109.86
  6. Step 6: Final answer
    x = 167,163.04

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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.