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Finding the Fourth Proportional to 223,713.68, 308,731.37 and 121,745.72

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Solution

The fourth proportional to 223,713.68, 308,731.37 and 121,745.72 is: 168,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.68 : 308,731.37 = 121,745.72 : x
  2. Step 2: Convert to fraction form
    223,713.68/308,731.37 = 121,745.72/x
  3. Step 3: Cross multiply
    223,713.68x = 308,731.37 × 121,745.72
  4. Step 4: Simplify right side
    223,713.68x = 37,586,722,927.24
  5. Step 5: Solve for x
    x = 37,586,722,927.24/223,713.68
  6. Step 6: Final answer
    x = 168,012.63

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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.