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Finding the Fourth Proportional to 185,869, 278,200.30 and 100,360.99

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Solution

The fourth proportional to 185,869, 278,200.30 and 100,360.99 is: 150,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,869 : 278,200.30 = 100,360.99 : x
  2. Step 2: Convert to fraction form
    185,869/278,200.30 = 100,360.99/x
  3. Step 3: Cross multiply
    185,869x = 278,200.30 × 100,360.99
  4. Step 4: Simplify right side
    185,869x = 27,920,456,830.80
  5. Step 5: Solve for x
    x = 27,920,456,830.80/185,869
  6. Step 6: Final answer
    x = 150,215.78

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1.5x scale

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.