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Finding the Fourth Proportional to 268,912.50, 403,368.78 and 81,924

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Solution

The fourth proportional to 268,912.50, 403,368.78 and 81,924 is: 122,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,912.50 : 403,368.78 = 81,924 : x
  2. Step 2: Convert to fraction form
    268,912.50/403,368.78 = 81,924/x
  3. Step 3: Cross multiply
    268,912.50x = 403,368.78 × 81,924
  4. Step 4: Simplify right side
    268,912.50x = 33,045,583,932.72
  5. Step 5: Solve for x
    x = 33,045,583,932.72/268,912.50
  6. Step 6: Final answer
    x = 122,886.01

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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.