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Finding the Fourth Proportional to 31,119.16, 42,943.14 and 16,971.16

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Solution

The fourth proportional to 31,119.16, 42,943.14 and 16,971.16 is: 23,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.16 : 42,943.14 = 16,971.16 : x
  2. Step 2: Convert to fraction form
    31,119.16/42,943.14 = 16,971.16/x
  3. Step 3: Cross multiply
    31,119.16x = 42,943.14 × 16,971.16
  4. Step 4: Simplify right side
    31,119.16x = 728,794,899.84
  5. Step 5: Solve for x
    x = 728,794,899.84/31,119.16
  6. Step 6: Final answer
    x = 23,419.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.