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Finding the Fourth Proportional to 201,855.22, 278,567.73 and 112,436.98

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Solution

The fourth proportional to 201,855.22, 278,567.73 and 112,436.98 is: 155,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,855.22 : 278,567.73 = 112,436.98 : x
  2. Step 2: Convert to fraction form
    201,855.22/278,567.73 = 112,436.98/x
  3. Step 3: Cross multiply
    201,855.22x = 278,567.73 × 112,436.98
  4. Step 4: Simplify right side
    201,855.22x = 31,321,314,286.66
  5. Step 5: Solve for x
    x = 31,321,314,286.66/201,855.22
  6. Step 6: Final answer
    x = 155,167.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.