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Finding the Fourth Proportional to 201,207.80, 301,702.35 and 82,891.10

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Solution

The fourth proportional to 201,207.80, 301,702.35 and 82,891.10 is: 124,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,207.80 : 301,702.35 = 82,891.10 : x
  2. Step 2: Convert to fraction form
    201,207.80/301,702.35 = 82,891.10/x
  3. Step 3: Cross multiply
    201,207.80x = 301,702.35 × 82,891.10
  4. Step 4: Simplify right side
    201,207.80x = 25,008,439,664.09
  5. Step 5: Solve for x
    x = 25,008,439,664.09/201,207.80
  6. Step 6: Final answer
    x = 124,291.60

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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.