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Finding the Fourth Proportional to 85,944.32, 128,571.88 and 71,182

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Solution

The fourth proportional to 85,944.32, 128,571.88 and 71,182 is: 106,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,944.32 : 128,571.88 = 71,182 : x
  2. Step 2: Convert to fraction form
    85,944.32/128,571.88 = 71,182/x
  3. Step 3: Cross multiply
    85,944.32x = 128,571.88 × 71,182
  4. Step 4: Simplify right side
    85,944.32x = 9,152,003,562.16
  5. Step 5: Solve for x
    x = 9,152,003,562.16/85,944.32
  6. Step 6: Final answer
    x = 106,487.59

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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.