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Finding the Fourth Proportional to 223,697.31, 308,697.71 and 121,724.79

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Solution

The fourth proportional to 223,697.31, 308,697.71 and 121,724.79 is: 167,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,697.31 : 308,697.71 = 121,724.79 : x
  2. Step 2: Convert to fraction form
    223,697.31/308,697.71 = 121,724.79/x
  3. Step 3: Cross multiply
    223,697.31x = 308,697.71 × 121,724.79
  4. Step 4: Simplify right side
    223,697.31x = 37,576,161,771.12
  5. Step 5: Solve for x
    x = 37,576,161,771.12/223,697.31
  6. Step 6: Final answer
    x = 167,977.71

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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.