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Finding the Fourth Proportional to 206,766.66, 310,004.04 and 80,301.57

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Solution

The fourth proportional to 206,766.66, 310,004.04 and 80,301.57 is: 120,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,766.66 : 310,004.04 = 80,301.57 : x
  2. Step 2: Convert to fraction form
    206,766.66/310,004.04 = 80,301.57/x
  3. Step 3: Cross multiply
    206,766.66x = 310,004.04 × 80,301.57
  4. Step 4: Simplify right side
    206,766.66x = 24,893,811,118.34
  5. Step 5: Solve for x
    x = 24,893,811,118.34/206,766.66
  6. Step 6: Final answer
    x = 120,395.67

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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.