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Finding the Fourth Proportional to 206,322.80, 309,509.58 and 79,965.16

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Solution

The fourth proportional to 206,322.80, 309,509.58 and 79,965.16 is: 119,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322.80 : 309,509.58 = 79,965.16 : x
  2. Step 2: Convert to fraction form
    206,322.80/309,509.58 = 79,965.16/x
  3. Step 3: Cross multiply
    206,322.80x = 309,509.58 × 79,965.16
  4. Step 4: Simplify right side
    206,322.80x = 24,749,983,086.23
  5. Step 5: Solve for x
    x = 24,749,983,086.23/206,322.80
  6. Step 6: Final answer
    x = 119,957.58

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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.