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Finding the Fourth Proportional to 275,123.85, 412,745.19 and 85,580.61

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Solution

The fourth proportional to 275,123.85, 412,745.19 and 85,580.61 is: 128,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,123.85 : 412,745.19 = 85,580.61 : x
  2. Step 2: Convert to fraction form
    275,123.85/412,745.19 = 85,580.61/x
  3. Step 3: Cross multiply
    275,123.85x = 412,745.19 × 85,580.61
  4. Step 4: Simplify right side
    275,123.85x = 35,322,985,134.77
  5. Step 5: Solve for x
    x = 35,322,985,134.77/275,123.85
  6. Step 6: Final answer
    x = 128,389.40

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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.