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Finding the Fourth Proportional to 206,138.20, 289,008.20 and 206,138.20

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Solution

The fourth proportional to 206,138.20, 289,008.20 and 206,138.20 is: 289,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,138.20 : 289,008.20 = 206,138.20 : x
  2. Step 2: Convert to fraction form
    206,138.20/289,008.20 = 206,138.20/x
  3. Step 3: Cross multiply
    206,138.20x = 289,008.20 × 206,138.20
  4. Step 4: Simplify right side
    206,138.20x = 59,575,630,133.24
  5. Step 5: Solve for x
    x = 59,575,630,133.24/206,138.20
  6. Step 6: Final answer
    x = 289,008.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.