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Finding the Fourth Proportional to 149,159.08, 205,839.54 and 82,091.08

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Solution

The fourth proportional to 149,159.08, 205,839.54 and 82,091.08 is: 113,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,159.08 : 205,839.54 = 82,091.08 : x
  2. Step 2: Convert to fraction form
    149,159.08/205,839.54 = 82,091.08/x
  3. Step 3: Cross multiply
    149,159.08x = 205,839.54 × 82,091.08
  4. Step 4: Simplify right side
    149,159.08x = 16,897,590,145.30
  5. Step 5: Solve for x
    x = 16,897,590,145.30/149,159.08
  6. Step 6: Final answer
    x = 113,285.70

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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.