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Finding the Fourth Proportional to 97,980, 135,213.36 and 53,268.96

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Solution

The fourth proportional to 97,980, 135,213.36 and 53,268.96 is: 73,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,980 : 135,213.36 = 53,268.96 : x
  2. Step 2: Convert to fraction form
    97,980/135,213.36 = 53,268.96/x
  3. Step 3: Cross multiply
    97,980x = 135,213.36 × 53,268.96
  4. Step 4: Simplify right side
    97,980x = 7,202,675,065.31
  5. Step 5: Solve for x
    x = 7,202,675,065.31/97,980
  6. Step 6: Final answer
    x = 73,511.69

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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.