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Finding the Fourth Proportional to 150,299.84, 207,416.15 and 82,315.59

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Solution

The fourth proportional to 150,299.84, 207,416.15 and 82,315.59 is: 113,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,299.84 : 207,416.15 = 82,315.59 : x
  2. Step 2: Convert to fraction form
    150,299.84/207,416.15 = 82,315.59/x
  3. Step 3: Cross multiply
    150,299.84x = 207,416.15 × 82,315.59
  4. Step 4: Simplify right side
    150,299.84x = 17,073,582,351.20
  5. Step 5: Solve for x
    x = 17,073,582,351.20/150,299.84
  6. Step 6: Final answer
    x = 113,596.81

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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.