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Finding the Fourth Proportional to 206,313.55, 284,712.45 and 115,669.54

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Solution

The fourth proportional to 206,313.55, 284,712.45 and 115,669.54 is: 159,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,313.55 : 284,712.45 = 115,669.54 : x
  2. Step 2: Convert to fraction form
    206,313.55/284,712.45 = 115,669.54/x
  3. Step 3: Cross multiply
    206,313.55x = 284,712.45 × 115,669.54
  4. Step 4: Simplify right side
    206,313.55x = 32,932,558,123.77
  5. Step 5: Solve for x
    x = 32,932,558,123.77/206,313.55
  6. Step 6: Final answer
    x = 159,623.83

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1.5x scale

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.