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Finding the Fourth Proportional to 199,045.68, 298,563.12 and 80,714.40

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Solution

The fourth proportional to 199,045.68, 298,563.12 and 80,714.40 is: 121,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,045.68 : 298,563.12 = 80,714.40 : x
  2. Step 2: Convert to fraction form
    199,045.68/298,563.12 = 80,714.40/x
  3. Step 3: Cross multiply
    199,045.68x = 298,563.12 × 80,714.40
  4. Step 4: Simplify right side
    199,045.68x = 24,098,343,092.93
  5. Step 5: Solve for x
    x = 24,098,343,092.93/199,045.68
  6. Step 6: Final answer
    x = 121,069.41

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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.