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Finding the Fourth Proportional to 262,680.84, 394,070.46 and 85,164.78

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Solution

The fourth proportional to 262,680.84, 394,070.46 and 85,164.78 is: 127,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,680.84 : 394,070.46 = 85,164.78 : x
  2. Step 2: Convert to fraction form
    262,680.84/394,070.46 = 85,164.78/x
  3. Step 3: Cross multiply
    262,680.84x = 394,070.46 × 85,164.78
  4. Step 4: Simplify right side
    262,680.84x = 33,560,924,030.40
  5. Step 5: Solve for x
    x = 33,560,924,030.40/262,680.84
  6. Step 6: Final answer
    x = 127,763.12

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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.