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Finding the Fourth Proportional to 206,269.76, 284,641.44 and 116,840

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Solution

The fourth proportional to 206,269.76, 284,641.44 and 116,840 is: 161,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,269.76 : 284,641.44 = 116,840 : x
  2. Step 2: Convert to fraction form
    206,269.76/284,641.44 = 116,840/x
  3. Step 3: Cross multiply
    206,269.76x = 284,641.44 × 116,840
  4. Step 4: Simplify right side
    206,269.76x = 33,257,505,849.60
  5. Step 5: Solve for x
    x = 33,257,505,849.60/206,269.76
  6. Step 6: Final answer
    x = 161,233.07

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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.