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Finding the Fourth Proportional to 223,728.90, 308,747.19 and 121,755.16

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Solution

The fourth proportional to 223,728.90, 308,747.19 and 121,755.16 is: 168,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,728.90 : 308,747.19 = 121,755.16 : x
  2. Step 2: Convert to fraction form
    223,728.90/308,747.19 = 121,755.16/x
  3. Step 3: Cross multiply
    223,728.90x = 308,747.19 × 121,755.16
  4. Step 4: Simplify right side
    223,728.90x = 37,591,563,518.00
  5. Step 5: Solve for x
    x = 37,591,563,518.00/223,728.90
  6. Step 6: Final answer
    x = 168,022.83

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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.