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Finding the Fourth Proportional to 81,762.40, 122,546.40 and 73,403.20

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Solution

The fourth proportional to 81,762.40, 122,546.40 and 73,403.20 is: 110,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.40 : 122,546.40 = 73,403.20 : x
  2. Step 2: Convert to fraction form
    81,762.40/122,546.40 = 73,403.20/x
  3. Step 3: Cross multiply
    81,762.40x = 122,546.40 × 73,403.20
  4. Step 4: Simplify right side
    81,762.40x = 8,995,297,908.48
  5. Step 5: Solve for x
    x = 8,995,297,908.48/81,762.40
  6. Step 6: Final answer
    x = 110,017.54

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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.