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Finding the Fourth Proportional to 188,915.70, 283,701.60 and 100,342.20

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Solution

The fourth proportional to 188,915.70, 283,701.60 and 100,342.20 is: 150,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,915.70 : 283,701.60 = 100,342.20 : x
  2. Step 2: Convert to fraction form
    188,915.70/283,701.60 = 100,342.20/x
  3. Step 3: Cross multiply
    188,915.70x = 283,701.60 × 100,342.20
  4. Step 4: Simplify right side
    188,915.70x = 28,467,242,687.52
  5. Step 5: Solve for x
    x = 28,467,242,687.52/188,915.70
  6. Step 6: Final answer
    x = 150,687.54

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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.