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Finding the Fourth Proportional to 206,142.80, 309,214.20 and 65,915.60

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Solution

The fourth proportional to 206,142.80, 309,214.20 and 65,915.60 is: 98,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.80 : 309,214.20 = 65,915.60 : x
  2. Step 2: Convert to fraction form
    206,142.80/309,214.20 = 65,915.60/x
  3. Step 3: Cross multiply
    206,142.80x = 309,214.20 × 65,915.60
  4. Step 4: Simplify right side
    206,142.80x = 20,382,039,521.52
  5. Step 5: Solve for x
    x = 20,382,039,521.52/206,142.80
  6. Step 6: Final answer
    x = 98,873.40

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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.