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Finding the Fourth Proportional to 235,984.78, 354,028.42 and 86,224.84

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Solution

The fourth proportional to 235,984.78, 354,028.42 and 86,224.84 is: 129,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,984.78 : 354,028.42 = 86,224.84 : x
  2. Step 2: Convert to fraction form
    235,984.78/354,028.42 = 86,224.84/x
  3. Step 3: Cross multiply
    235,984.78x = 354,028.42 × 86,224.84
  4. Step 4: Simplify right side
    235,984.78x = 30,526,043,092.66
  5. Step 5: Solve for x
    x = 30,526,043,092.66/235,984.78
  6. Step 6: Final answer
    x = 129,355.98

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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.