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Finding the Fourth Proportional to 203,947.80, 305,921.70 and 124,231.65

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Solution

The fourth proportional to 203,947.80, 305,921.70 and 124,231.65 is: 186,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.80 : 305,921.70 = 124,231.65 : x
  2. Step 2: Convert to fraction form
    203,947.80/305,921.70 = 124,231.65/x
  3. Step 3: Cross multiply
    203,947.80x = 305,921.70 × 124,231.65
  4. Step 4: Simplify right side
    203,947.80x = 38,005,157,561.81
  5. Step 5: Solve for x
    x = 38,005,157,561.81/203,947.80
  6. Step 6: Final answer
    x = 186,347.48

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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.