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Finding the Fourth Proportional to 141,065.21, 211,785.64 and 81,943.31

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Solution

The fourth proportional to 141,065.21, 211,785.64 and 81,943.31 is: 123,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,065.21 : 211,785.64 = 81,943.31 : x
  2. Step 2: Convert to fraction form
    141,065.21/211,785.64 = 81,943.31/x
  3. Step 3: Cross multiply
    141,065.21x = 211,785.64 × 81,943.31
  4. Step 4: Simplify right side
    141,065.21x = 17,354,416,676.67
  5. Step 5: Solve for x
    x = 17,354,416,676.67/141,065.21
  6. Step 6: Final answer
    x = 123,024.07

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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.