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Finding the Fourth Proportional to 149,203, 205,900.14 and 82,135

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Solution

The fourth proportional to 149,203, 205,900.14 and 82,135 is: 113,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,203 : 205,900.14 = 82,135 : x
  2. Step 2: Convert to fraction form
    149,203/205,900.14 = 82,135/x
  3. Step 3: Cross multiply
    149,203x = 205,900.14 × 82,135
  4. Step 4: Simplify right side
    149,203x = 16,911,607,998.90
  5. Step 5: Solve for x
    x = 16,911,607,998.90/149,203
  6. Step 6: Final answer
    x = 113,346.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.