Home / 100,977.76-151,467-30,856.78

Finding the Fourth Proportional to 100,977.76, 151,467 and 30,856.78

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Solution

The fourth proportional to 100,977.76, 151,467 and 30,856.78 is: 46,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977.76 : 151,467 = 30,856.78 : x
  2. Step 2: Convert to fraction form
    100,977.76/151,467 = 30,856.78/x
  3. Step 3: Cross multiply
    100,977.76x = 151,467 × 30,856.78
  4. Step 4: Simplify right side
    100,977.76x = 4,673,783,896.26
  5. Step 5: Solve for x
    x = 4,673,783,896.26/100,977.76
  6. Step 6: Final answer
    x = 46,285.28

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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.