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Finding the Fourth Proportional to 201,790.50, 301,938.42 and 126,309.30

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Solution

The fourth proportional to 201,790.50, 301,938.42 and 126,309.30 is: 188,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,790.50 : 301,938.42 = 126,309.30 : x
  2. Step 2: Convert to fraction form
    201,790.50/301,938.42 = 126,309.30/x
  3. Step 3: Cross multiply
    201,790.50x = 301,938.42 × 126,309.30
  4. Step 4: Simplify right side
    201,790.50x = 38,137,630,473.31
  5. Step 5: Solve for x
    x = 38,137,630,473.31/201,790.50
  6. Step 6: Final answer
    x = 188,996.16

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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.