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Finding the Fourth Proportional to 77,943.43, 107,536.44 and 47,697.22

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Solution

The fourth proportional to 77,943.43, 107,536.44 and 47,697.22 is: 65,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,943.43 : 107,536.44 = 47,697.22 : x
  2. Step 2: Convert to fraction form
    77,943.43/107,536.44 = 47,697.22/x
  3. Step 3: Cross multiply
    77,943.43x = 107,536.44 × 47,697.22
  4. Step 4: Simplify right side
    77,943.43x = 5,129,189,236.70
  5. Step 5: Solve for x
    x = 5,129,189,236.70/77,943.43
  6. Step 6: Final answer
    x = 65,806.56

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1.5x scale

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.