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Finding the Fourth Proportional to 206,801.89, 285,313.94 and 135,223.81

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Solution

The fourth proportional to 206,801.89, 285,313.94 and 135,223.81 is: 186,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.89 : 285,313.94 = 135,223.81 : x
  2. Step 2: Convert to fraction form
    206,801.89/285,313.94 = 135,223.81/x
  3. Step 3: Cross multiply
    206,801.89x = 285,313.94 × 135,223.81
  4. Step 4: Simplify right side
    206,801.89x = 38,581,237,336.79
  5. Step 5: Solve for x
    x = 38,581,237,336.79/206,801.89
  6. Step 6: Final answer
    x = 186,561.34

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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.