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Finding the Fourth Proportional to 149,276.93, 205,992.82 and 82,208.93

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Solution

The fourth proportional to 149,276.93, 205,992.82 and 82,208.93 is: 113,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,276.93 : 205,992.82 = 82,208.93 : x
  2. Step 2: Convert to fraction form
    149,276.93/205,992.82 = 82,208.93/x
  3. Step 3: Cross multiply
    149,276.93x = 205,992.82 × 82,208.93
  4. Step 4: Simplify right side
    149,276.93x = 16,934,449,319.88
  5. Step 5: Solve for x
    x = 16,934,449,319.88/149,276.93
  6. Step 6: Final answer
    x = 113,443.18

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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.