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Finding the Fourth Proportional to 82,738.80, 124,140.60 and 30,153.60

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Solution

The fourth proportional to 82,738.80, 124,140.60 and 30,153.60 is: 45,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,738.80 : 124,140.60 = 30,153.60 : x
  2. Step 2: Convert to fraction form
    82,738.80/124,140.60 = 30,153.60/x
  3. Step 3: Cross multiply
    82,738.80x = 124,140.60 × 30,153.60
  4. Step 4: Simplify right side
    82,738.80x = 3,743,285,996.16
  5. Step 5: Solve for x
    x = 3,743,285,996.16/82,738.80
  6. Step 6: Final answer
    x = 45,242.21

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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.