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Finding the Fourth Proportional to 199,407.98, 299,168.49 and 81,164.18

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Solution

The fourth proportional to 199,407.98, 299,168.49 and 81,164.18 is: 121,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,407.98 : 299,168.49 = 81,164.18 : x
  2. Step 2: Convert to fraction form
    199,407.98/299,168.49 = 81,164.18/x
  3. Step 3: Cross multiply
    199,407.98x = 299,168.49 × 81,164.18
  4. Step 4: Simplify right side
    199,407.98x = 24,281,765,172.69
  5. Step 5: Solve for x
    x = 24,281,765,172.69/199,407.98
  6. Step 6: Final answer
    x = 121,769.28

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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.