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Finding the Fourth Proportional to 85,892.85, 128,842.89 and 23,563.35

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Solution

The fourth proportional to 85,892.85, 128,842.89 and 23,563.35 is: 35,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,892.85 : 128,842.89 = 23,563.35 : x
  2. Step 2: Convert to fraction form
    85,892.85/128,842.89 = 23,563.35/x
  3. Step 3: Cross multiply
    85,892.85x = 128,842.89 × 23,563.35
  4. Step 4: Simplify right side
    85,892.85x = 3,035,970,112.08
  5. Step 5: Solve for x
    x = 3,035,970,112.08/85,892.85
  6. Step 6: Final answer
    x = 35,346.02

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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.