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Finding the Fourth Proportional to 268,900.16, 403,396.32 and 81,876.80

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Solution

The fourth proportional to 268,900.16, 403,396.32 and 81,876.80 is: 122,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,900.16 : 403,396.32 = 81,876.80 : x
  2. Step 2: Convert to fraction form
    268,900.16/403,396.32 = 81,876.80/x
  3. Step 3: Cross multiply
    268,900.16x = 403,396.32 × 81,876.80
  4. Step 4: Simplify right side
    268,900.16x = 33,028,799,813.38
  5. Step 5: Solve for x
    x = 33,028,799,813.38/268,900.16
  6. Step 6: Final answer
    x = 122,829.23

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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.