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Finding the Fourth Proportional to 44,071.56, 66,107.34 and 12,906

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Solution

The fourth proportional to 44,071.56, 66,107.34 and 12,906 is: 19,359

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,071.56 : 66,107.34 = 12,906 : x
  2. Step 2: Convert to fraction form
    44,071.56/66,107.34 = 12,906/x
  3. Step 3: Cross multiply
    44,071.56x = 66,107.34 × 12,906
  4. Step 4: Simplify right side
    44,071.56x = 853,181,330.04
  5. Step 5: Solve for x
    x = 853,181,330.04/44,071.56
  6. Step 6: Final answer
    x = 19,359

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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.