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Finding the Fourth Proportional to 82,816.70, 124,115.70 and 73,412.60

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Solution

The fourth proportional to 82,816.70, 124,115.70 and 73,412.60 is: 110,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816.70 : 124,115.70 = 73,412.60 : x
  2. Step 2: Convert to fraction form
    82,816.70/124,115.70 = 73,412.60/x
  3. Step 3: Cross multiply
    82,816.70x = 124,115.70 × 73,412.60
  4. Step 4: Simplify right side
    82,816.70x = 9,111,656,237.82
  5. Step 5: Solve for x
    x = 9,111,656,237.82/82,816.70
  6. Step 6: Final answer
    x = 110,021.97

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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.