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Finding the Fourth Proportional to 149,699.64, 206,577.90 and 82,618.68

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Solution

The fourth proportional to 149,699.64, 206,577.90 and 82,618.68 is: 114,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,699.64 : 206,577.90 = 82,618.68 : x
  2. Step 2: Convert to fraction form
    149,699.64/206,577.90 = 82,618.68/x
  3. Step 3: Cross multiply
    149,699.64x = 206,577.90 × 82,618.68
  4. Step 4: Simplify right side
    149,699.64x = 17,067,193,415.17
  5. Step 5: Solve for x
    x = 17,067,193,415.17/149,699.64
  6. Step 6: Final answer
    x = 114,009.58

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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.