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Finding the Fourth Proportional to 71,020.82, 98,009.02 and 39,190.64

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Solution

The fourth proportional to 71,020.82, 98,009.02 and 39,190.64 is: 54,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,020.82 : 98,009.02 = 39,190.64 : x
  2. Step 2: Convert to fraction form
    71,020.82/98,009.02 = 39,190.64/x
  3. Step 3: Cross multiply
    71,020.82x = 98,009.02 × 39,190.64
  4. Step 4: Simplify right side
    71,020.82x = 3,841,036,219.57
  5. Step 5: Solve for x
    x = 3,841,036,219.57/71,020.82
  6. Step 6: Final answer
    x = 54,083.24

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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.