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Finding the Fourth Proportional to 206,954.63, 285,814.23 and 142,591.22

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Solution

The fourth proportional to 206,954.63, 285,814.23 and 142,591.22 is: 196,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,954.63 : 285,814.23 = 142,591.22 : x
  2. Step 2: Convert to fraction form
    206,954.63/285,814.23 = 142,591.22/x
  3. Step 3: Cross multiply
    206,954.63x = 285,814.23 × 142,591.22
  4. Step 4: Simplify right side
    206,954.63x = 40,754,598,857.08
  5. Step 5: Solve for x
    x = 40,754,598,857.08/206,954.63
  6. Step 6: Final answer
    x = 196,925.28

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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.