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Finding the Fourth Proportional to 31,122.24, 42,948 and 16,975.68

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Solution

The fourth proportional to 31,122.24, 42,948 and 16,975.68 is: 23,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.24 : 42,948 = 16,975.68 : x
  2. Step 2: Convert to fraction form
    31,122.24/42,948 = 16,975.68/x
  3. Step 3: Cross multiply
    31,122.24x = 42,948 × 16,975.68
  4. Step 4: Simplify right side
    31,122.24x = 729,071,504.64
  5. Step 5: Solve for x
    x = 729,071,504.64/31,122.24
  6. Step 6: Final answer
    x = 23,426.06

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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.