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Finding the Fourth Proportional to 145,859.20, 218,961.60 and 82,729.60

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Solution

The fourth proportional to 145,859.20, 218,961.60 and 82,729.60 is: 124,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,859.20 : 218,961.60 = 82,729.60 : x
  2. Step 2: Convert to fraction form
    145,859.20/218,961.60 = 82,729.60/x
  3. Step 3: Cross multiply
    145,859.20x = 218,961.60 × 82,729.60
  4. Step 4: Simplify right side
    145,859.20x = 18,114,605,583.36
  5. Step 5: Solve for x
    x = 18,114,605,583.36/145,859.20
  6. Step 6: Final answer
    x = 124,192.41

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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.