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Finding the Fourth Proportional to 203,473.80, 305,090.82 and 83,494.98

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Solution

The fourth proportional to 203,473.80, 305,090.82 and 83,494.98 is: 125,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473.80 : 305,090.82 = 83,494.98 : x
  2. Step 2: Convert to fraction form
    203,473.80/305,090.82 = 83,494.98/x
  3. Step 3: Cross multiply
    203,473.80x = 305,090.82 × 83,494.98
  4. Step 4: Simplify right side
    203,473.80x = 25,473,551,914.08
  5. Step 5: Solve for x
    x = 25,473,551,914.08/203,473.80
  6. Step 6: Final answer
    x = 125,193.28

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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.