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Finding the Fourth Proportional to 268,858.16, 403,347.24 and 81,884.08

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Solution

The fourth proportional to 268,858.16, 403,347.24 and 81,884.08 is: 122,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,858.16 : 403,347.24 = 81,884.08 : x
  2. Step 2: Convert to fraction form
    268,858.16/403,347.24 = 81,884.08/x
  3. Step 3: Cross multiply
    268,858.16x = 403,347.24 × 81,884.08
  4. Step 4: Simplify right side
    268,858.16x = 33,027,717,667.94
  5. Step 5: Solve for x
    x = 33,027,717,667.94/268,858.16
  6. Step 6: Final answer
    x = 122,844.39

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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.