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Finding the Fourth Proportional to 201,205.80, 301,808.64 and 51,446.40

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Solution

The fourth proportional to 201,205.80, 301,808.64 and 51,446.40 is: 77,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.80 : 301,808.64 = 51,446.40 : x
  2. Step 2: Convert to fraction form
    201,205.80/301,808.64 = 51,446.40/x
  3. Step 3: Cross multiply
    201,205.80x = 301,808.64 × 51,446.40
  4. Step 4: Simplify right side
    201,205.80x = 15,526,968,016.90
  5. Step 5: Solve for x
    x = 15,526,968,016.90/201,205.80
  6. Step 6: Final answer
    x = 77,169.58

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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.