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Finding the Fourth Proportional to 172,205.21, 258,184.36 and 80,969.54

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Solution

The fourth proportional to 172,205.21, 258,184.36 and 80,969.54 is: 121,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,205.21 : 258,184.36 = 80,969.54 : x
  2. Step 2: Convert to fraction form
    172,205.21/258,184.36 = 80,969.54/x
  3. Step 3: Cross multiply
    172,205.21x = 258,184.36 × 80,969.54
  4. Step 4: Simplify right side
    172,205.21x = 20,905,068,459.55
  5. Step 5: Solve for x
    x = 20,905,068,459.55/172,205.21
  6. Step 6: Final answer
    x = 121,396.26

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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.