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Finding the Fourth Proportional to 201,208, 301,352.73 and 96,100.78

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Solution

The fourth proportional to 201,208, 301,352.73 and 96,100.78 is: 143,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208 : 301,352.73 = 96,100.78 : x
  2. Step 2: Convert to fraction form
    201,208/301,352.73 = 96,100.78/x
  3. Step 3: Cross multiply
    201,208x = 301,352.73 × 96,100.78
  4. Step 4: Simplify right side
    201,208x = 28,960,232,408.13
  5. Step 5: Solve for x
    x = 28,960,232,408.13/201,208
  6. Step 6: Final answer
    x = 143,931.81

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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.