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Finding the Fourth Proportional to 199,820.80, 299,683.20 and 115,398.40

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Solution

The fourth proportional to 199,820.80, 299,683.20 and 115,398.40 is: 173,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,820.80 : 299,683.20 = 115,398.40 : x
  2. Step 2: Convert to fraction form
    199,820.80/299,683.20 = 115,398.40/x
  3. Step 3: Cross multiply
    199,820.80x = 299,683.20 × 115,398.40
  4. Step 4: Simplify right side
    199,820.80x = 34,582,961,786.88
  5. Step 5: Solve for x
    x = 34,582,961,786.88/199,820.80
  6. Step 6: Final answer
    x = 173,069.88

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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.