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Finding the Fourth Proportional to 215,971.20, 323,719.20 and 75,657.60

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Solution

The fourth proportional to 215,971.20, 323,719.20 and 75,657.60 is: 113,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,971.20 : 323,719.20 = 75,657.60 : x
  2. Step 2: Convert to fraction form
    215,971.20/323,719.20 = 75,657.60/x
  3. Step 3: Cross multiply
    215,971.20x = 323,719.20 × 75,657.60
  4. Step 4: Simplify right side
    215,971.20x = 24,491,817,745.92
  5. Step 5: Solve for x
    x = 24,491,817,745.92/215,971.20
  6. Step 6: Final answer
    x = 113,403.17

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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.