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Finding the Fourth Proportional to 150,311.73, 207,422.76 and 82,329

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Solution

The fourth proportional to 150,311.73, 207,422.76 and 82,329 is: 113,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,311.73 : 207,422.76 = 82,329 : x
  2. Step 2: Convert to fraction form
    150,311.73/207,422.76 = 82,329/x
  3. Step 3: Cross multiply
    150,311.73x = 207,422.76 × 82,329
  4. Step 4: Simplify right side
    150,311.73x = 17,076,908,408.04
  5. Step 5: Solve for x
    x = 17,076,908,408.04/150,311.73
  6. Step 6: Final answer
    x = 113,609.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.