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Finding the Fourth Proportional to 70,523.68, 97,322.68 and 40,309.65

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Solution

The fourth proportional to 70,523.68, 97,322.68 and 40,309.65 is: 55,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523.68 : 97,322.68 = 40,309.65 : x
  2. Step 2: Convert to fraction form
    70,523.68/97,322.68 = 40,309.65/x
  3. Step 3: Cross multiply
    70,523.68x = 97,322.68 × 40,309.65
  4. Step 4: Simplify right side
    70,523.68x = 3,923,043,067.09
  5. Step 5: Solve for x
    x = 3,923,043,067.09/70,523.68
  6. Step 6: Final answer
    x = 55,627.32

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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.