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Finding the Fourth Proportional to 82,546.70, 123,710.70 and 73,142.60

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Solution

The fourth proportional to 82,546.70, 123,710.70 and 73,142.60 is: 109,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,546.70 : 123,710.70 = 73,142.60 : x
  2. Step 2: Convert to fraction form
    82,546.70/123,710.70 = 73,142.60/x
  3. Step 3: Cross multiply
    82,546.70x = 123,710.70 × 73,142.60
  4. Step 4: Simplify right side
    82,546.70x = 9,048,522,245.82
  5. Step 5: Solve for x
    x = 9,048,522,245.82/82,546.70
  6. Step 6: Final answer
    x = 109,617.01

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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.