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Finding the Fourth Proportional to 216,068.40, 323,908.20 and 141,224.40

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Solution

The fourth proportional to 216,068.40, 323,908.20 and 141,224.40 is: 211,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,068.40 : 323,908.20 = 141,224.40 : x
  2. Step 2: Convert to fraction form
    216,068.40/323,908.20 = 141,224.40/x
  3. Step 3: Cross multiply
    216,068.40x = 323,908.20 × 141,224.40
  4. Step 4: Simplify right side
    216,068.40x = 45,743,741,200.08
  5. Step 5: Solve for x
    x = 45,743,741,200.08/216,068.40
  6. Step 6: Final answer
    x = 211,709.54

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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.