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Finding the Fourth Proportional to 82,485.81, 123,728.40 and 20,156.31

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Solution

The fourth proportional to 82,485.81, 123,728.40 and 20,156.31 is: 30,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,485.81 : 123,728.40 = 20,156.31 : x
  2. Step 2: Convert to fraction form
    82,485.81/123,728.40 = 20,156.31/x
  3. Step 3: Cross multiply
    82,485.81x = 123,728.40 × 20,156.31
  4. Step 4: Simplify right side
    82,485.81x = 2,493,907,986.20
  5. Step 5: Solve for x
    x = 2,493,907,986.20/82,485.81
  6. Step 6: Final answer
    x = 30,234.39

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1.5x scale

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.