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Finding the Fourth Proportional to 206,053.40, 309,371.70 and 161,730.20

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Solution

The fourth proportional to 206,053.40, 309,371.70 and 161,730.20 is: 242,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,053.40 : 309,371.70 = 161,730.20 : x
  2. Step 2: Convert to fraction form
    206,053.40/309,371.70 = 161,730.20/x
  3. Step 3: Cross multiply
    206,053.40x = 309,371.70 × 161,730.20
  4. Step 4: Simplify right side
    206,053.40x = 50,034,746,915.34
  5. Step 5: Solve for x
    x = 50,034,746,915.34/206,053.40
  6. Step 6: Final answer
    x = 242,824.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.