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Finding the Fourth Proportional to 206,166.54, 284,505 and 121,289.06

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Solution

The fourth proportional to 206,166.54, 284,505 and 121,289.06 is: 167,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.54 : 284,505 = 121,289.06 : x
  2. Step 2: Convert to fraction form
    206,166.54/284,505 = 121,289.06/x
  3. Step 3: Cross multiply
    206,166.54x = 284,505 × 121,289.06
  4. Step 4: Simplify right side
    206,166.54x = 34,507,344,015.30
  5. Step 5: Solve for x
    x = 34,507,344,015.30/206,166.54
  6. Step 6: Final answer
    x = 167,376.06

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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.