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Finding the Fourth Proportional to 100,791.44, 139,063.32 and 65,002

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Solution

The fourth proportional to 100,791.44, 139,063.32 and 65,002 is: 89,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791.44 : 139,063.32 = 65,002 : x
  2. Step 2: Convert to fraction form
    100,791.44/139,063.32 = 65,002/x
  3. Step 3: Cross multiply
    100,791.44x = 139,063.32 × 65,002
  4. Step 4: Simplify right side
    100,791.44x = 9,039,393,926.64
  5. Step 5: Solve for x
    x = 9,039,393,926.64/100,791.44
  6. Step 6: Final answer
    x = 89,684.14

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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.