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Finding the Fourth Proportional to 70,290.32, 96,991.08 and 41,990

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Solution

The fourth proportional to 70,290.32, 96,991.08 and 41,990 is: 57,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,290.32 : 96,991.08 = 41,990 : x
  2. Step 2: Convert to fraction form
    70,290.32/96,991.08 = 41,990/x
  3. Step 3: Cross multiply
    70,290.32x = 96,991.08 × 41,990
  4. Step 4: Simplify right side
    70,290.32x = 4,072,655,449.20
  5. Step 5: Solve for x
    x = 4,072,655,449.20/70,290.32
  6. Step 6: Final answer
    x = 57,940.49

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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.