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Finding the Fourth Proportional to 141,012.90, 211,707.07 and 81,891

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Solution

The fourth proportional to 141,012.90, 211,707.07 and 81,891 is: 122,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,012.90 : 211,707.07 = 81,891 : x
  2. Step 2: Convert to fraction form
    141,012.90/211,707.07 = 81,891/x
  3. Step 3: Cross multiply
    141,012.90x = 211,707.07 × 81,891
  4. Step 4: Simplify right side
    141,012.90x = 17,336,903,464.64
  5. Step 5: Solve for x
    x = 17,336,903,464.64/141,012.90
  6. Step 6: Final answer
    x = 122,945.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.