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Finding the Fourth Proportional to 275,014.29, 412,521.80 and 75,336.44

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Solution

The fourth proportional to 275,014.29, 412,521.80 and 75,336.44 is: 113,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,014.29 : 412,521.80 = 75,336.44 : x
  2. Step 2: Convert to fraction form
    275,014.29/412,521.80 = 75,336.44/x
  3. Step 3: Cross multiply
    275,014.29x = 412,521.80 × 75,336.44
  4. Step 4: Simplify right side
    275,014.29x = 31,077,921,395.10
  5. Step 5: Solve for x
    x = 31,077,921,395.10/275,014.29
  6. Step 6: Final answer
    x = 113,004.75

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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.