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Finding the Fourth Proportional to 71,896.51, 107,845.45 and 19,306.00

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Solution

The fourth proportional to 71,896.51, 107,845.45 and 19,306.00 is: 28,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,896.51 : 107,845.45 = 19,306.00 : x
  2. Step 2: Convert to fraction form
    71,896.51/107,845.45 = 19,306.00/x
  3. Step 3: Cross multiply
    71,896.51x = 107,845.45 × 19,306.00
  4. Step 4: Simplify right side
    71,896.51x = 2,082,063,791.91
  5. Step 5: Solve for x
    x = 2,082,063,791.91/71,896.51
  6. Step 6: Final answer
    x = 28,959.18

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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.