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Finding the Fourth Proportional to 205,469.90, 308,010.45 and 121,294.70

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Solution

The fourth proportional to 205,469.90, 308,010.45 and 121,294.70 is: 181,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,469.90 : 308,010.45 = 121,294.70 : x
  2. Step 2: Convert to fraction form
    205,469.90/308,010.45 = 121,294.70/x
  3. Step 3: Cross multiply
    205,469.90x = 308,010.45 × 121,294.70
  4. Step 4: Simplify right side
    205,469.90x = 37,360,035,129.62
  5. Step 5: Solve for x
    x = 37,360,035,129.62/205,469.90
  6. Step 6: Final answer
    x = 181,827.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.