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Finding the Fourth Proportional to 77,357.37, 106,743.60 and 47,131.71

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Solution

The fourth proportional to 77,357.37, 106,743.60 and 47,131.71 is: 65,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,357.37 : 106,743.60 = 47,131.71 : x
  2. Step 2: Convert to fraction form
    77,357.37/106,743.60 = 47,131.71/x
  3. Step 3: Cross multiply
    77,357.37x = 106,743.60 × 47,131.71
  4. Step 4: Simplify right side
    77,357.37x = 5,031,008,399.56
  5. Step 5: Solve for x
    x = 5,031,008,399.56/77,357.37
  6. Step 6: Final answer
    x = 65,035.93

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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.