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Finding the Fourth Proportional to 105,297.68, 145,351.08 and 65,018

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Solution

The fourth proportional to 105,297.68, 145,351.08 and 65,018 is: 89,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,297.68 : 145,351.08 = 65,018 : x
  2. Step 2: Convert to fraction form
    105,297.68/145,351.08 = 65,018/x
  3. Step 3: Cross multiply
    105,297.68x = 145,351.08 × 65,018
  4. Step 4: Simplify right side
    105,297.68x = 9,450,436,519.44
  5. Step 5: Solve for x
    x = 9,450,436,519.44/105,297.68
  6. Step 6: Final answer
    x = 89,749.71

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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.