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Finding the Fourth Proportional to 206,527.36, 309,809.52 and 80,164.64

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Solution

The fourth proportional to 206,527.36, 309,809.52 and 80,164.64 is: 120,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,527.36 : 309,809.52 = 80,164.64 : x
  2. Step 2: Convert to fraction form
    206,527.36/309,809.52 = 80,164.64/x
  3. Step 3: Cross multiply
    206,527.36x = 309,809.52 × 80,164.64
  4. Step 4: Simplify right side
    206,527.36x = 24,835,768,639.37
  5. Step 5: Solve for x
    x = 24,835,768,639.37/206,527.36
  6. Step 6: Final answer
    x = 120,254.13

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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.