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Finding the Fourth Proportional to 141,146.84, 211,443.46 and 81,858

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Solution

The fourth proportional to 141,146.84, 211,443.46 and 81,858 is: 122,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,146.84 : 211,443.46 = 81,858 : x
  2. Step 2: Convert to fraction form
    141,146.84/211,443.46 = 81,858/x
  3. Step 3: Cross multiply
    141,146.84x = 211,443.46 × 81,858
  4. Step 4: Simplify right side
    141,146.84x = 17,308,338,748.68
  5. Step 5: Solve for x
    x = 17,308,338,748.68/141,146.84
  6. Step 6: Final answer
    x = 122,626.47

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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.