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Finding the Fourth Proportional to 81,745.72, 122,569.30 and 53,303.80

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Solution

The fourth proportional to 81,745.72, 122,569.30 and 53,303.80 is: 79,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745.72 : 122,569.30 = 53,303.80 : x
  2. Step 2: Convert to fraction form
    81,745.72/122,569.30 = 53,303.80/x
  3. Step 3: Cross multiply
    81,745.72x = 122,569.30 × 53,303.80
  4. Step 4: Simplify right side
    81,745.72x = 6,533,409,453.34
  5. Step 5: Solve for x
    x = 6,533,409,453.34/81,745.72
  6. Step 6: Final answer
    x = 79,923.57

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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.