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Finding the Fourth Proportional to 150,419.50, 207,581.21 and 82,435.92

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Solution

The fourth proportional to 150,419.50, 207,581.21 and 82,435.92 is: 113,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,419.50 : 207,581.21 = 82,435.92 : x
  2. Step 2: Convert to fraction form
    150,419.50/207,581.21 = 82,435.92/x
  3. Step 3: Cross multiply
    150,419.50x = 207,581.21 × 82,435.92
  4. Step 4: Simplify right side
    150,419.50x = 17,112,148,021.06
  5. Step 5: Solve for x
    x = 17,112,148,021.06/150,419.50
  6. Step 6: Final answer
    x = 113,762.83

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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.