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Finding the Fourth Proportional to 206,554, 285,044.52 and 117,130

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Solution

The fourth proportional to 206,554, 285,044.52 and 117,130 is: 161,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,554 : 285,044.52 = 117,130 : x
  2. Step 2: Convert to fraction form
    206,554/285,044.52 = 117,130/x
  3. Step 3: Cross multiply
    206,554x = 285,044.52 × 117,130
  4. Step 4: Simplify right side
    206,554x = 33,387,264,627.60
  5. Step 5: Solve for x
    x = 33,387,264,627.60/206,554
  6. Step 6: Final answer
    x = 161,639.40

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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.