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Finding the Fourth Proportional to 262,720, 394,135.32 and 85,213.16

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Solution

The fourth proportional to 262,720, 394,135.32 and 85,213.16 is: 127,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,720 : 394,135.32 = 85,213.16 : x
  2. Step 2: Convert to fraction form
    262,720/394,135.32 = 85,213.16/x
  3. Step 3: Cross multiply
    262,720x = 394,135.32 × 85,213.16
  4. Step 4: Simplify right side
    262,720x = 33,585,516,084.81
  5. Step 5: Solve for x
    x = 33,585,516,084.81/262,720
  6. Step 6: Final answer
    x = 127,837.68

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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.