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Finding the Fourth Proportional to 71,981.69, 107,972.54 and 36,898.97

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Solution

The fourth proportional to 71,981.69, 107,972.54 and 36,898.97 is: 55,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,981.69 : 107,972.54 = 36,898.97 : x
  2. Step 2: Convert to fraction form
    71,981.69/107,972.54 = 36,898.97/x
  3. Step 3: Cross multiply
    71,981.69x = 107,972.54 × 36,898.97
  4. Step 4: Simplify right side
    71,981.69x = 3,984,075,514.28
  5. Step 5: Solve for x
    x = 3,984,075,514.28/71,981.69
  6. Step 6: Final answer
    x = 55,348.46

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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.