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Finding the Fourth Proportional to 199,827.20, 299,740.80 and 120,900.80

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Solution

The fourth proportional to 199,827.20, 299,740.80 and 120,900.80 is: 181,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,827.20 : 299,740.80 = 120,900.80 : x
  2. Step 2: Convert to fraction form
    199,827.20/299,740.80 = 120,900.80/x
  3. Step 3: Cross multiply
    199,827.20x = 299,740.80 × 120,900.80
  4. Step 4: Simplify right side
    199,827.20x = 36,238,902,512.64
  5. Step 5: Solve for x
    x = 36,238,902,512.64/199,827.20
  6. Step 6: Final answer
    x = 181,351.20

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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.