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Finding the Fourth Proportional to 203,584.74, 305,378.73 and 83,610.78

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Solution

The fourth proportional to 203,584.74, 305,378.73 and 83,610.78 is: 125,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,584.74 : 305,378.73 = 83,610.78 : x
  2. Step 2: Convert to fraction form
    203,584.74/305,378.73 = 83,610.78/x
  3. Step 3: Cross multiply
    203,584.74x = 305,378.73 × 83,610.78
  4. Step 4: Simplify right side
    203,584.74x = 25,532,953,810.71
  5. Step 5: Solve for x
    x = 25,532,953,810.71/203,584.74
  6. Step 6: Final answer
    x = 125,416.84

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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.