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Finding the Fourth Proportional to 200,817.57, 301,276.21 and 99,663.09

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Solution

The fourth proportional to 200,817.57, 301,276.21 and 99,663.09 is: 149,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,817.57 : 301,276.21 = 99,663.09 : x
  2. Step 2: Convert to fraction form
    200,817.57/301,276.21 = 99,663.09/x
  3. Step 3: Cross multiply
    200,817.57x = 301,276.21 × 99,663.09
  4. Step 4: Simplify right side
    200,817.57x = 30,026,118,411.54
  5. Step 5: Solve for x
    x = 30,026,118,411.54/200,817.57
  6. Step 6: Final answer
    x = 149,519.38

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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.