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Finding the Fourth Proportional to 199,536.84, 299,359.94 and 99,576.36

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Solution

The fourth proportional to 199,536.84, 299,359.94 and 99,576.36 is: 149,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,536.84 : 299,359.94 = 99,576.36 : x
  2. Step 2: Convert to fraction form
    199,536.84/299,359.94 = 99,576.36/x
  3. Step 3: Cross multiply
    199,536.84x = 299,359.94 × 99,576.36
  4. Step 4: Simplify right side
    199,536.84x = 29,809,172,657.14
  5. Step 5: Solve for x
    x = 29,809,172,657.14/199,536.84
  6. Step 6: Final answer
    x = 149,391.82

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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.