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Finding the Fourth Proportional to 67,090, 100,638.42 and 17,170.51

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Solution

The fourth proportional to 67,090, 100,638.42 and 17,170.51 is: 25,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,090 : 100,638.42 = 17,170.51 : x
  2. Step 2: Convert to fraction form
    67,090/100,638.42 = 17,170.51/x
  3. Step 3: Cross multiply
    67,090x = 100,638.42 × 17,170.51
  4. Step 4: Simplify right side
    67,090x = 1,728,012,996.99
  5. Step 5: Solve for x
    x = 1,728,012,996.99/67,090
  6. Step 6: Final answer
    x = 25,756.64

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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.