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Finding the Fourth Proportional to 214,636.80, 321,998.40 and 74,366.40

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Solution

The fourth proportional to 214,636.80, 321,998.40 and 74,366.40 is: 111,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,636.80 : 321,998.40 = 74,366.40 : x
  2. Step 2: Convert to fraction form
    214,636.80/321,998.40 = 74,366.40/x
  3. Step 3: Cross multiply
    214,636.80x = 321,998.40 × 74,366.40
  4. Step 4: Simplify right side
    214,636.80x = 23,945,861,813.76
  5. Step 5: Solve for x
    x = 23,945,861,813.76/214,636.80
  6. Step 6: Final answer
    x = 111,564.57

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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.