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Finding the Fourth Proportional to 200,731.53, 301,262.94 and 100,920.09

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Solution

The fourth proportional to 200,731.53, 301,262.94 and 100,920.09 is: 151,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.53 : 301,262.94 = 100,920.09 : x
  2. Step 2: Convert to fraction form
    200,731.53/301,262.94 = 100,920.09/x
  3. Step 3: Cross multiply
    200,731.53x = 301,262.94 × 100,920.09
  4. Step 4: Simplify right side
    200,731.53x = 30,403,483,018.46
  5. Step 5: Solve for x
    x = 30,403,483,018.46/200,731.53
  6. Step 6: Final answer
    x = 151,463.41

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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.