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Finding the Fourth Proportional to 207,085.43, 285,776.46 and 117,661.43

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Solution

The fourth proportional to 207,085.43, 285,776.46 and 117,661.43 is: 162,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,085.43 : 285,776.46 = 117,661.43 : x
  2. Step 2: Convert to fraction form
    207,085.43/285,776.46 = 117,661.43/x
  3. Step 3: Cross multiply
    207,085.43x = 285,776.46 × 117,661.43
  4. Step 4: Simplify right side
    207,085.43x = 33,624,867,658.38
  5. Step 5: Solve for x
    x = 33,624,867,658.38/207,085.43
  6. Step 6: Final answer
    x = 162,371.96

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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.