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Finding the Fourth Proportional to 208,978.52, 288,396.08 and 122,943.56

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Solution

The fourth proportional to 208,978.52, 288,396.08 and 122,943.56 is: 169,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,978.52 : 288,396.08 = 122,943.56 : x
  2. Step 2: Convert to fraction form
    208,978.52/288,396.08 = 122,943.56/x
  3. Step 3: Cross multiply
    208,978.52x = 288,396.08 × 122,943.56
  4. Step 4: Simplify right side
    208,978.52x = 35,456,440,765.24
  5. Step 5: Solve for x
    x = 35,456,440,765.24/208,978.52
  6. Step 6: Final answer
    x = 169,665.48

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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.