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Finding the Fourth Proportional to 200,563.68, 276,790.32 and 111,139.68

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Solution

The fourth proportional to 200,563.68, 276,790.32 and 111,139.68 is: 153,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,563.68 : 276,790.32 = 111,139.68 : x
  2. Step 2: Convert to fraction form
    200,563.68/276,790.32 = 111,139.68/x
  3. Step 3: Cross multiply
    200,563.68x = 276,790.32 × 111,139.68
  4. Step 4: Simplify right side
    200,563.68x = 30,762,387,591.90
  5. Step 5: Solve for x
    x = 30,762,387,591.90/200,563.68
  6. Step 6: Final answer
    x = 153,379.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.