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Finding the Fourth Proportional to 201,731.55, 302,509.85 and 68,576.10

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Solution

The fourth proportional to 201,731.55, 302,509.85 and 68,576.10 is: 102,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,731.55 : 302,509.85 = 68,576.10 : x
  2. Step 2: Convert to fraction form
    201,731.55/302,509.85 = 68,576.10/x
  3. Step 3: Cross multiply
    201,731.55x = 302,509.85 × 68,576.10
  4. Step 4: Simplify right side
    201,731.55x = 20,744,945,381.70
  5. Step 5: Solve for x
    x = 20,744,945,381.70/201,731.55
  6. Step 6: Final answer
    x = 102,834.41

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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.