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Finding the Fourth Proportional to 206,172.99, 284,536.84 and 120,127.50

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Solution

The fourth proportional to 206,172.99, 284,536.84 and 120,127.50 is: 165,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,172.99 : 284,536.84 = 120,127.50 : x
  2. Step 2: Convert to fraction form
    206,172.99/284,536.84 = 120,127.50/x
  3. Step 3: Cross multiply
    206,172.99x = 284,536.84 × 120,127.50
  4. Step 4: Simplify right side
    206,172.99x = 34,180,700,258.76
  5. Step 5: Solve for x
    x = 34,180,700,258.76/206,172.99
  6. Step 6: Final answer
    x = 165,786.51

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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.