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Finding the Fourth Proportional to 203,537.63, 305,302.80 and 83,568.53

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Solution

The fourth proportional to 203,537.63, 305,302.80 and 83,568.53 is: 125,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,537.63 : 305,302.80 = 83,568.53 : x
  2. Step 2: Convert to fraction form
    203,537.63/305,302.80 = 83,568.53/x
  3. Step 3: Cross multiply
    203,537.63x = 305,302.80 × 83,568.53
  4. Step 4: Simplify right side
    203,537.63x = 25,513,706,200.88
  5. Step 5: Solve for x
    x = 25,513,706,200.88/203,537.63
  6. Step 6: Final answer
    x = 125,351.30

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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.