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Finding the Fourth Proportional to 206,136.20, 289,005.40 and 206,136.20

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Solution

The fourth proportional to 206,136.20, 289,005.40 and 206,136.20 is: 289,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136.20 : 289,005.40 = 206,136.20 : x
  2. Step 2: Convert to fraction form
    206,136.20/289,005.40 = 206,136.20/x
  3. Step 3: Cross multiply
    206,136.20x = 289,005.40 × 206,136.20
  4. Step 4: Simplify right side
    206,136.20x = 59,574,474,935.48
  5. Step 5: Solve for x
    x = 59,574,474,935.48/206,136.20
  6. Step 6: Final answer
    x = 289,005.40

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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.