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Finding the Fourth Proportional to 77,406.98, 116,110.56 and 21,247.86

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Solution

The fourth proportional to 77,406.98, 116,110.56 and 21,247.86 is: 31,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.98 : 116,110.56 = 21,247.86 : x
  2. Step 2: Convert to fraction form
    77,406.98/116,110.56 = 21,247.86/x
  3. Step 3: Cross multiply
    77,406.98x = 116,110.56 × 21,247.86
  4. Step 4: Simplify right side
    77,406.98x = 2,467,100,923.40
  5. Step 5: Solve for x
    x = 2,467,100,923.40/77,406.98
  6. Step 6: Final answer
    x = 31,871.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.