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Finding the Fourth Proportional to 149,908, 206,873.60 and 82,840

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Solution

The fourth proportional to 149,908, 206,873.60 and 82,840 is: 114,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,908 : 206,873.60 = 82,840 : x
  2. Step 2: Convert to fraction form
    149,908/206,873.60 = 82,840/x
  3. Step 3: Cross multiply
    149,908x = 206,873.60 × 82,840
  4. Step 4: Simplify right side
    149,908x = 17,137,409,024
  5. Step 5: Solve for x
    x = 17,137,409,024/149,908
  6. Step 6: Final answer
    x = 114,319.51

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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.