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Finding the Fourth Proportional to 206,880, 285,494.40 and 117,456

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Solution

The fourth proportional to 206,880, 285,494.40 and 117,456 is: 162,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,880 : 285,494.40 = 117,456 : x
  2. Step 2: Convert to fraction form
    206,880/285,494.40 = 117,456/x
  3. Step 3: Cross multiply
    206,880x = 285,494.40 × 117,456
  4. Step 4: Simplify right side
    206,880x = 33,533,030,246.40
  5. Step 5: Solve for x
    x = 33,533,030,246.40/206,880
  6. Step 6: Final answer
    x = 162,089.28

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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.