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Finding the Fourth Proportional to 57,171, 78,896 and 32,020.50

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Solution

The fourth proportional to 57,171, 78,896 and 32,020.50 is: 44,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,171 : 78,896 = 32,020.50 : x
  2. Step 2: Convert to fraction form
    57,171/78,896 = 32,020.50/x
  3. Step 3: Cross multiply
    57,171x = 78,896 × 32,020.50
  4. Step 4: Simplify right side
    57,171x = 2,526,289,368
  5. Step 5: Solve for x
    x = 2,526,289,368/57,171
  6. Step 6: Final answer
    x = 44,188.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.