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Finding the Fourth Proportional to 200,126.78, 299,795.69 and 162,729.08

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Solution

The fourth proportional to 200,126.78, 299,795.69 and 162,729.08 is: 243,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,126.78 : 299,795.69 = 162,729.08 : x
  2. Step 2: Convert to fraction form
    200,126.78/299,795.69 = 162,729.08/x
  3. Step 3: Cross multiply
    200,126.78x = 299,795.69 × 162,729.08
  4. Step 4: Simplify right side
    200,126.78x = 48,785,476,821.67
  5. Step 5: Solve for x
    x = 48,785,476,821.67/200,126.78
  6. Step 6: Final answer
    x = 243,772.86

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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.