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Finding the Fourth Proportional to 149,835, 206,772.30 and 82,767

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Solution

The fourth proportional to 149,835, 206,772.30 and 82,767 is: 114,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,835 : 206,772.30 = 82,767 : x
  2. Step 2: Convert to fraction form
    149,835/206,772.30 = 82,767/x
  3. Step 3: Cross multiply
    149,835x = 206,772.30 × 82,767
  4. Step 4: Simplify right side
    149,835x = 17,113,922,954.10
  5. Step 5: Solve for x
    x = 17,113,922,954.10/149,835
  6. Step 6: Final answer
    x = 114,218.46

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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.