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Finding the Fourth Proportional to 172,760.81, 238,410.87 and 100,206.67

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Solution

The fourth proportional to 172,760.81, 238,410.87 and 100,206.67 is: 138,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,760.81 : 238,410.87 = 100,206.67 : x
  2. Step 2: Convert to fraction form
    172,760.81/238,410.87 = 100,206.67/x
  3. Step 3: Cross multiply
    172,760.81x = 238,410.87 × 100,206.67
  4. Step 4: Simplify right side
    172,760.81x = 23,890,359,131.55
  5. Step 5: Solve for x
    x = 23,890,359,131.55/172,760.81
  6. Step 6: Final answer
    x = 138,285.75

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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.