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Finding the Fourth Proportional to 206,866.60, 285,513.06 and 121,978.60

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Solution

The fourth proportional to 206,866.60, 285,513.06 and 121,978.60 is: 168,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,866.60 : 285,513.06 = 121,978.60 : x
  2. Step 2: Convert to fraction form
    206,866.60/285,513.06 = 121,978.60/x
  3. Step 3: Cross multiply
    206,866.60x = 285,513.06 × 121,978.60
  4. Step 4: Simplify right side
    206,866.60x = 34,826,483,340.52
  5. Step 5: Solve for x
    x = 34,826,483,340.52/206,866.60
  6. Step 6: Final answer
    x = 168,352.37

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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.