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Finding the Fourth Proportional to 180,664.56, 270,999.12 and 85,903.68

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Solution

The fourth proportional to 180,664.56, 270,999.12 and 85,903.68 is: 128,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,664.56 : 270,999.12 = 85,903.68 : x
  2. Step 2: Convert to fraction form
    180,664.56/270,999.12 = 85,903.68/x
  3. Step 3: Cross multiply
    180,664.56x = 270,999.12 × 85,903.68
  4. Step 4: Simplify right side
    180,664.56x = 23,279,821,684.76
  5. Step 5: Solve for x
    x = 23,279,821,684.76/180,664.56
  6. Step 6: Final answer
    x = 128,856.60

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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.