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Finding the Fourth Proportional to 77,249.92, 106,606.40 and 50,409.60

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Solution

The fourth proportional to 77,249.92, 106,606.40 and 50,409.60 is: 69,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,249.92 : 106,606.40 = 50,409.60 : x
  2. Step 2: Convert to fraction form
    77,249.92/106,606.40 = 50,409.60/x
  3. Step 3: Cross multiply
    77,249.92x = 106,606.40 × 50,409.60
  4. Step 4: Simplify right side
    77,249.92x = 5,373,985,981.44
  5. Step 5: Solve for x
    x = 5,373,985,981.44/77,249.92
  6. Step 6: Final answer
    x = 69,566.23

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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.