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Finding the Fourth Proportional to 199,905.90, 299,713.05 and 81,516.30

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Solution

The fourth proportional to 199,905.90, 299,713.05 and 81,516.30 is: 122,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,905.90 : 299,713.05 = 81,516.30 : x
  2. Step 2: Convert to fraction form
    199,905.90/299,713.05 = 81,516.30/x
  3. Step 3: Cross multiply
    199,905.90x = 299,713.05 × 81,516.30
  4. Step 4: Simplify right side
    199,905.90x = 24,431,498,897.72
  5. Step 5: Solve for x
    x = 24,431,498,897.72/199,905.90
  6. Step 6: Final answer
    x = 122,215.00

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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.