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Finding the Fourth Proportional to 200,089.70, 276,147.60 and 115,223.30

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Solution

The fourth proportional to 200,089.70, 276,147.60 and 115,223.30 is: 159,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,089.70 : 276,147.60 = 115,223.30 : x
  2. Step 2: Convert to fraction form
    200,089.70/276,147.60 = 115,223.30/x
  3. Step 3: Cross multiply
    200,089.70x = 276,147.60 × 115,223.30
  4. Step 4: Simplify right side
    200,089.70x = 31,818,637,759.08
  5. Step 5: Solve for x
    x = 31,818,637,759.08/200,089.70
  6. Step 6: Final answer
    x = 159,021.87

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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.