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Finding the Fourth Proportional to 97,821, 134,993.16 and 53,109

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Solution

The fourth proportional to 97,821, 134,993.16 and 53,109 is: 73,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,821 : 134,993.16 = 53,109 : x
  2. Step 2: Convert to fraction form
    97,821/134,993.16 = 53,109/x
  3. Step 3: Cross multiply
    97,821x = 134,993.16 × 53,109
  4. Step 4: Simplify right side
    97,821x = 7,169,351,734.44
  5. Step 5: Solve for x
    x = 7,169,351,734.44/97,821
  6. Step 6: Final answer
    x = 73,290.52

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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.