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Finding the Fourth Proportional to 208,941.89, 288,365.31 and 122,896.77

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Solution

The fourth proportional to 208,941.89, 288,365.31 and 122,896.77 is: 169,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,941.89 : 288,365.31 = 122,896.77 : x
  2. Step 2: Convert to fraction form
    208,941.89/288,365.31 = 122,896.77/x
  3. Step 3: Cross multiply
    208,941.89x = 288,365.31 × 122,896.77
  4. Step 4: Simplify right side
    208,941.89x = 35,439,165,179.05
  5. Step 5: Solve for x
    x = 35,439,165,179.05/208,941.89
  6. Step 6: Final answer
    x = 169,612.54

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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.