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Finding the Fourth Proportional to 82,561.68, 123,842.16 and 20,232

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Solution

The fourth proportional to 82,561.68, 123,842.16 and 20,232 is: 30,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,561.68 : 123,842.16 = 20,232 : x
  2. Step 2: Convert to fraction form
    82,561.68/123,842.16 = 20,232/x
  3. Step 3: Cross multiply
    82,561.68x = 123,842.16 × 20,232
  4. Step 4: Simplify right side
    82,561.68x = 2,505,574,581.12
  5. Step 5: Solve for x
    x = 2,505,574,581.12/82,561.68
  6. Step 6: Final answer
    x = 30,347.91

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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.