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Finding the Fourth Proportional to 199,909.76, 299,169.12 and 123,972.80

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Solution

The fourth proportional to 199,909.76, 299,169.12 and 123,972.80 is: 185,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,909.76 : 299,169.12 = 123,972.80 : x
  2. Step 2: Convert to fraction form
    199,909.76/299,169.12 = 123,972.80/x
  3. Step 3: Cross multiply
    199,909.76x = 299,169.12 × 123,972.80
  4. Step 4: Simplify right side
    199,909.76x = 37,088,833,479.94
  5. Step 5: Solve for x
    x = 37,088,833,479.94/199,909.76
  6. Step 6: Final answer
    x = 185,527.88

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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.