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Finding the Fourth Proportional to 206,516.61, 284,969.61 and 115,853.76

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Solution

The fourth proportional to 206,516.61, 284,969.61 and 115,853.76 is: 159,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,516.61 : 284,969.61 = 115,853.76 : x
  2. Step 2: Convert to fraction form
    206,516.61/284,969.61 = 115,853.76/x
  3. Step 3: Cross multiply
    206,516.61x = 284,969.61 × 115,853.76
  4. Step 4: Simplify right side
    206,516.61x = 33,014,800,804.23
  5. Step 5: Solve for x
    x = 33,014,800,804.23/206,516.61
  6. Step 6: Final answer
    x = 159,865.11

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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.