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Finding the Fourth Proportional to 67,971, 101,965.14 and 18,723

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Solution

The fourth proportional to 67,971, 101,965.14 and 18,723 is: 28,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,971 : 101,965.14 = 18,723 : x
  2. Step 2: Convert to fraction form
    67,971/101,965.14 = 18,723/x
  3. Step 3: Cross multiply
    67,971x = 101,965.14 × 18,723
  4. Step 4: Simplify right side
    67,971x = 1,909,093,316.22
  5. Step 5: Solve for x
    x = 1,909,093,316.22/67,971
  6. Step 6: Final answer
    x = 28,086.88

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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.