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Finding the Fourth Proportional to 260,005, 389,958.16 and 126,751.24

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Solution

The fourth proportional to 260,005, 389,958.16 and 126,751.24 is: 190,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,005 : 389,958.16 = 126,751.24 : x
  2. Step 2: Convert to fraction form
    260,005/389,958.16 = 126,751.24/x
  3. Step 3: Cross multiply
    260,005x = 389,958.16 × 126,751.24
  4. Step 4: Simplify right side
    260,005x = 49,427,680,328.12
  5. Step 5: Solve for x
    x = 49,427,680,328.12/260,005
  6. Step 6: Final answer
    x = 190,102.81

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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.