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Finding the Fourth Proportional to 199,649.20, 299,473.80 and 81,405.40

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Solution

The fourth proportional to 199,649.20, 299,473.80 and 81,405.40 is: 122,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,649.20 : 299,473.80 = 81,405.40 : x
  2. Step 2: Convert to fraction form
    199,649.20/299,473.80 = 81,405.40/x
  3. Step 3: Cross multiply
    199,649.20x = 299,473.80 × 81,405.40
  4. Step 4: Simplify right side
    199,649.20x = 24,378,784,478.52
  5. Step 5: Solve for x
    x = 24,378,784,478.52/199,649.20
  6. Step 6: Final answer
    x = 122,108.10

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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.