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Finding the Fourth Proportional to 206,035.35, 309,051.95 and 65,790.87

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Solution

The fourth proportional to 206,035.35, 309,051.95 and 65,790.87 is: 98,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,035.35 : 309,051.95 = 65,790.87 : x
  2. Step 2: Convert to fraction form
    206,035.35/309,051.95 = 65,790.87/x
  3. Step 3: Cross multiply
    206,035.35x = 309,051.95 × 65,790.87
  4. Step 4: Simplify right side
    206,035.35x = 20,332,796,336.74
  5. Step 5: Solve for x
    x = 20,332,796,336.74/206,035.35
  6. Step 6: Final answer
    x = 98,685.96

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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.