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Finding the Fourth Proportional to 82,561.20, 123,840.24 and 20,232.24

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Solution

The fourth proportional to 82,561.20, 123,840.24 and 20,232.24 is: 30,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,561.20 : 123,840.24 = 20,232.24 : x
  2. Step 2: Convert to fraction form
    82,561.20/123,840.24 = 20,232.24/x
  3. Step 3: Cross multiply
    82,561.20x = 123,840.24 × 20,232.24
  4. Step 4: Simplify right side
    82,561.20x = 2,505,565,457.34
  5. Step 5: Solve for x
    x = 2,505,565,457.34/82,561.20
  6. Step 6: Final answer
    x = 30,347.98

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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.