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Finding the Fourth Proportional to 71,706, 107,597.88 and 34,770

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Solution

The fourth proportional to 71,706, 107,597.88 and 34,770 is: 52,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706 : 107,597.88 = 34,770 : x
  2. Step 2: Convert to fraction form
    71,706/107,597.88 = 34,770/x
  3. Step 3: Cross multiply
    71,706x = 107,597.88 × 34,770
  4. Step 4: Simplify right side
    71,706x = 3,741,178,287.60
  5. Step 5: Solve for x
    x = 3,741,178,287.60/71,706
  6. Step 6: Final answer
    x = 52,173.85

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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.