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Finding the Fourth Proportional to 223,697.81, 308,698.40 and 121,725.29

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Solution

The fourth proportional to 223,697.81, 308,698.40 and 121,725.29 is: 167,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,697.81 : 308,698.40 = 121,725.29 : x
  2. Step 2: Convert to fraction form
    223,697.81/308,698.40 = 121,725.29/x
  3. Step 3: Cross multiply
    223,697.81x = 308,698.40 × 121,725.29
  4. Step 4: Simplify right side
    223,697.81x = 37,576,400,110.42
  5. Step 5: Solve for x
    x = 37,576,400,110.42/223,697.81
  6. Step 6: Final answer
    x = 167,978.40

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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.