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Finding the Fourth Proportional to 265,871.21, 366,906.26 and 145,012.06

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Solution

The fourth proportional to 265,871.21, 366,906.26 and 145,012.06 is: 200,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,871.21 : 366,906.26 = 145,012.06 : x
  2. Step 2: Convert to fraction form
    265,871.21/366,906.26 = 145,012.06/x
  3. Step 3: Cross multiply
    265,871.21x = 366,906.26 × 145,012.06
  4. Step 4: Simplify right side
    265,871.21x = 53,205,832,589.50
  5. Step 5: Solve for x
    x = 53,205,832,589.50/265,871.21
  6. Step 6: Final answer
    x = 200,118.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.