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Finding the Fourth Proportional to 85,896.37, 128,856.71 and 26,738.02

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Solution

The fourth proportional to 85,896.37, 128,856.71 and 26,738.02 is: 40,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896.37 : 128,856.71 = 26,738.02 : x
  2. Step 2: Convert to fraction form
    85,896.37/128,856.71 = 26,738.02/x
  3. Step 3: Cross multiply
    85,896.37x = 128,856.71 × 26,738.02
  4. Step 4: Simplify right side
    85,896.37x = 3,445,373,289.11
  5. Step 5: Solve for x
    x = 3,445,373,289.11/85,896.37
  6. Step 6: Final answer
    x = 40,110.81

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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.