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Finding the Fourth Proportional to 268,998.08, 403,562 and 81,998.24

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Solution

The fourth proportional to 268,998.08, 403,562 and 81,998.24 is: 123,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,998.08 : 403,562 = 81,998.24 : x
  2. Step 2: Convert to fraction form
    268,998.08/403,562 = 81,998.24/x
  3. Step 3: Cross multiply
    268,998.08x = 403,562 × 81,998.24
  4. Step 4: Simplify right side
    268,998.08x = 33,091,373,730.88
  5. Step 5: Solve for x
    x = 33,091,373,730.88/268,998.08
  6. Step 6: Final answer
    x = 123,017.14

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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.