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Finding the Fourth Proportional to 206,264.56, 284,592 and 121,365.76

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Solution

The fourth proportional to 206,264.56, 284,592 and 121,365.76 is: 167,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,264.56 : 284,592 = 121,365.76 : x
  2. Step 2: Convert to fraction form
    206,264.56/284,592 = 121,365.76/x
  3. Step 3: Cross multiply
    206,264.56x = 284,592 × 121,365.76
  4. Step 4: Simplify right side
    206,264.56x = 34,539,724,369.92
  5. Step 5: Solve for x
    x = 34,539,724,369.92/206,264.56
  6. Step 6: Final answer
    x = 167,453.51

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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.