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Finding the Fourth Proportional to 268,967.08, 403,511.10 and 81,997.48

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Solution

The fourth proportional to 268,967.08, 403,511.10 and 81,997.48 is: 123,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,967.08 : 403,511.10 = 81,997.48 : x
  2. Step 2: Convert to fraction form
    268,967.08/403,511.10 = 81,997.48/x
  3. Step 3: Cross multiply
    268,967.08x = 403,511.10 × 81,997.48
  4. Step 4: Simplify right side
    268,967.08x = 33,086,893,352.03
  5. Step 5: Solve for x
    x = 33,086,893,352.03/268,967.08
  6. Step 6: Final answer
    x = 123,014.66

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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.