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Finding the Fourth Proportional to 200,154, 300,231.12 and 94,915.68

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Solution

The fourth proportional to 200,154, 300,231.12 and 94,915.68 is: 142,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,154 : 300,231.12 = 94,915.68 : x
  2. Step 2: Convert to fraction form
    200,154/300,231.12 = 94,915.68/x
  3. Step 3: Cross multiply
    200,154x = 300,231.12 × 94,915.68
  4. Step 4: Simplify right side
    200,154x = 28,496,640,911.96
  5. Step 5: Solve for x
    x = 28,496,640,911.96/200,154
  6. Step 6: Final answer
    x = 142,373.58

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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.