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Finding the Fourth Proportional to 206,342.10, 309,602.16 and 111,638.97

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Solution

The fourth proportional to 206,342.10, 309,602.16 and 111,638.97 is: 167,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,342.10 : 309,602.16 = 111,638.97 : x
  2. Step 2: Convert to fraction form
    206,342.10/309,602.16 = 111,638.97/x
  3. Step 3: Cross multiply
    206,342.10x = 309,602.16 × 111,638.97
  4. Step 4: Simplify right side
    206,342.10x = 34,563,666,252.18
  5. Step 5: Solve for x
    x = 34,563,666,252.18/206,342.10
  6. Step 6: Final answer
    x = 167,506.61

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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.