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Finding the Fourth Proportional to 141,113.14, 211,706.60 and 81,891.88

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Solution

The fourth proportional to 141,113.14, 211,706.60 and 81,891.88 is: 122,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,113.14 : 211,706.60 = 81,891.88 : x
  2. Step 2: Convert to fraction form
    141,113.14/211,706.60 = 81,891.88/x
  3. Step 3: Cross multiply
    141,113.14x = 211,706.60 × 81,891.88
  4. Step 4: Simplify right side
    141,113.14x = 17,337,050,543.68
  5. Step 5: Solve for x
    x = 17,337,050,543.68/141,113.14
  6. Step 6: Final answer
    x = 122,859.22

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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.