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Finding the Fourth Proportional to 206,549.85, 309,429.90 and 139,661.67

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Solution

The fourth proportional to 206,549.85, 309,429.90 and 139,661.67 is: 209,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,549.85 : 309,429.90 = 139,661.67 : x
  2. Step 2: Convert to fraction form
    206,549.85/309,429.90 = 139,661.67/x
  3. Step 3: Cross multiply
    206,549.85x = 309,429.90 × 139,661.67
  4. Step 4: Simplify right side
    206,549.85x = 43,215,496,581.93
  5. Step 5: Solve for x
    x = 43,215,496,581.93/206,549.85
  6. Step 6: Final answer
    x = 209,225.50

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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.