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Finding the Fourth Proportional to 70,145.32, 96,796.62 and 39,938

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Solution

The fourth proportional to 70,145.32, 96,796.62 and 39,938 is: 55,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,145.32 : 96,796.62 = 39,938 : x
  2. Step 2: Convert to fraction form
    70,145.32/96,796.62 = 39,938/x
  3. Step 3: Cross multiply
    70,145.32x = 96,796.62 × 39,938
  4. Step 4: Simplify right side
    70,145.32x = 3,865,863,409.56
  5. Step 5: Solve for x
    x = 3,865,863,409.56/70,145.32
  6. Step 6: Final answer
    x = 55,112.21

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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.