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Finding the Fourth Proportional to 275,021.68, 412,532.88 and 75,343.81

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Solution

The fourth proportional to 275,021.68, 412,532.88 and 75,343.81 is: 113,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,021.68 : 412,532.88 = 75,343.81 : x
  2. Step 2: Convert to fraction form
    275,021.68/412,532.88 = 75,343.81/x
  3. Step 3: Cross multiply
    275,021.68x = 412,532.88 × 75,343.81
  4. Step 4: Simplify right side
    275,021.68x = 31,081,798,929.47
  5. Step 5: Solve for x
    x = 31,081,798,929.47/275,021.68
  6. Step 6: Final answer
    x = 113,015.81

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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.