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Finding the Fourth Proportional to 206,774.72, 285,357.92 and 117,359.04

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Solution

The fourth proportional to 206,774.72, 285,357.92 and 117,359.04 is: 161,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,774.72 : 285,357.92 = 117,359.04 : x
  2. Step 2: Convert to fraction form
    206,774.72/285,357.92 = 117,359.04/x
  3. Step 3: Cross multiply
    206,774.72x = 285,357.92 × 117,359.04
  4. Step 4: Simplify right side
    206,774.72x = 33,489,331,547.60
  5. Step 5: Solve for x
    x = 33,489,331,547.60/206,774.72
  6. Step 6: Final answer
    x = 161,960.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.