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Finding the Fourth Proportional to 67,209.88, 100,821.09 and 19,825.01

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Solution

The fourth proportional to 67,209.88, 100,821.09 and 19,825.01 is: 29,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,209.88 : 100,821.09 = 19,825.01 : x
  2. Step 2: Convert to fraction form
    67,209.88/100,821.09 = 19,825.01/x
  3. Step 3: Cross multiply
    67,209.88x = 100,821.09 × 19,825.01
  4. Step 4: Simplify right side
    67,209.88x = 1,998,779,117.46
  5. Step 5: Solve for x
    x = 1,998,779,117.46/67,209.88
  6. Step 6: Final answer
    x = 29,739.37

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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.