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Finding the Fourth Proportional to 206,857.73, 285,492.47 and 116,220.72

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Solution

The fourth proportional to 206,857.73, 285,492.47 and 116,220.72 is: 160,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.73 : 285,492.47 = 116,220.72 : x
  2. Step 2: Convert to fraction form
    206,857.73/285,492.47 = 116,220.72/x
  3. Step 3: Cross multiply
    206,857.73x = 285,492.47 × 116,220.72
  4. Step 4: Simplify right side
    206,857.73x = 33,180,140,907.47
  5. Step 5: Solve for x
    x = 33,180,140,907.47/206,857.73
  6. Step 6: Final answer
    x = 160,400.78

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1.5x scale

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.