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Finding the Fourth Proportional to 199,896.70, 275,666.61 and 130,883.18

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Solution

The fourth proportional to 199,896.70, 275,666.61 and 130,883.18 is: 180,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,896.70 : 275,666.61 = 130,883.18 : x
  2. Step 2: Convert to fraction form
    199,896.70/275,666.61 = 130,883.18/x
  3. Step 3: Cross multiply
    199,896.70x = 275,666.61 × 130,883.18
  4. Step 4: Simplify right side
    199,896.70x = 36,080,121,882.20
  5. Step 5: Solve for x
    x = 36,080,121,882.20/199,896.70
  6. Step 6: Final answer
    x = 180,493.83

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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.