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Finding the Fourth Proportional to 270,541.92, 405,851.76 and 83,568

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Solution

The fourth proportional to 270,541.92, 405,851.76 and 83,568 is: 125,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,541.92 : 405,851.76 = 83,568 : x
  2. Step 2: Convert to fraction form
    270,541.92/405,851.76 = 83,568/x
  3. Step 3: Cross multiply
    270,541.92x = 405,851.76 × 83,568
  4. Step 4: Simplify right side
    270,541.92x = 33,916,219,879.68
  5. Step 5: Solve for x
    x = 33,916,219,879.68/270,541.92
  6. Step 6: Final answer
    x = 125,364.01

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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.