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Finding the Fourth Proportional to 141,407.92, 212,100.88 and 82,205.80

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Solution

The fourth proportional to 141,407.92, 212,100.88 and 82,205.80 is: 123,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,407.92 : 212,100.88 = 82,205.80 : x
  2. Step 2: Convert to fraction form
    141,407.92/212,100.88 = 82,205.80/x
  3. Step 3: Cross multiply
    141,407.92x = 212,100.88 × 82,205.80
  4. Step 4: Simplify right side
    141,407.92x = 17,435,922,521.10
  5. Step 5: Solve for x
    x = 17,435,922,521.10/141,407.92
  6. Step 6: Final answer
    x = 123,302.31

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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.