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Finding the Fourth Proportional to 71,701.76, 98,942.08 and 41,888

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Solution

The fourth proportional to 71,701.76, 98,942.08 and 41,888 is: 57,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,701.76 : 98,942.08 = 41,888 : x
  2. Step 2: Convert to fraction form
    71,701.76/98,942.08 = 41,888/x
  3. Step 3: Cross multiply
    71,701.76x = 98,942.08 × 41,888
  4. Step 4: Simplify right side
    71,701.76x = 4,144,485,847.04
  5. Step 5: Solve for x
    x = 4,144,485,847.04/71,701.76
  6. Step 6: Final answer
    x = 57,801.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.