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Finding the Fourth Proportional to 71,020, 98,003.74 and 39,182.68

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Solution

The fourth proportional to 71,020, 98,003.74 and 39,182.68 is: 54,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,020 : 98,003.74 = 39,182.68 : x
  2. Step 2: Convert to fraction form
    71,020/98,003.74 = 39,182.68/x
  3. Step 3: Cross multiply
    71,020x = 98,003.74 × 39,182.68
  4. Step 4: Simplify right side
    71,020x = 3,840,049,183.22
  5. Step 5: Solve for x
    x = 3,840,049,183.22/71,020
  6. Step 6: Final answer
    x = 54,069.97

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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.