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Finding the Fourth Proportional to 199,570.20, 299,355.30 and 120,643.80

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Solution

The fourth proportional to 199,570.20, 299,355.30 and 120,643.80 is: 180,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570.20 : 299,355.30 = 120,643.80 : x
  2. Step 2: Convert to fraction form
    199,570.20/299,355.30 = 120,643.80/x
  3. Step 3: Cross multiply
    199,570.20x = 299,355.30 × 120,643.80
  4. Step 4: Simplify right side
    199,570.20x = 36,115,360,942.14
  5. Step 5: Solve for x
    x = 36,115,360,942.14/199,570.20
  6. Step 6: Final answer
    x = 180,965.70

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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.