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Finding the Fourth Proportional to 268,855.14, 403,282.71 and 81,866.64

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Solution

The fourth proportional to 268,855.14, 403,282.71 and 81,866.64 is: 122,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,855.14 : 403,282.71 = 81,866.64 : x
  2. Step 2: Convert to fraction form
    268,855.14/403,282.71 = 81,866.64/x
  3. Step 3: Cross multiply
    268,855.14x = 403,282.71 × 81,866.64
  4. Step 4: Simplify right side
    268,855.14x = 33,015,400,437.79
  5. Step 5: Solve for x
    x = 33,015,400,437.79/268,855.14
  6. Step 6: Final answer
    x = 122,799.96

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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.