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Finding the Fourth Proportional to 206,751.69, 285,283.22 and 121,885.16

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Solution

The fourth proportional to 206,751.69, 285,283.22 and 121,885.16 is: 168,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,751.69 : 285,283.22 = 121,885.16 : x
  2. Step 2: Convert to fraction form
    206,751.69/285,283.22 = 121,885.16/x
  3. Step 3: Cross multiply
    206,751.69x = 285,283.22 × 121,885.16
  4. Step 4: Simplify right side
    206,751.69x = 34,771,788,879.17
  5. Step 5: Solve for x
    x = 34,771,788,879.17/206,751.69
  6. Step 6: Final answer
    x = 168,181.40

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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.