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Finding the Fourth Proportional to 206,647,659, 285,173,769.42 and 113,827,879.80

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Solution

The fourth proportional to 206,647,659, 285,173,769.42 and 113,827,879.80 is: 157,082,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,647,659 : 285,173,769.42 = 113,827,879.80 : x
  2. Step 2: Convert to fraction form
    206,647,659/285,173,769.42 = 113,827,879.80/x
  3. Step 3: Cross multiply
    206,647,659x = 285,173,769.42 × 113,827,879.80
  4. Step 4: Simplify right side
    206,647,659x = 32,460,725,547,652,676
  5. Step 5: Solve for x
    x = 32,460,725,547,652,676/206,647,659
  6. Step 6: Final answer
    x = 157,082,474.12

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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.