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Finding the Fourth Proportional to 199,411.20, 298,713.60 and 124,300.80

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Solution

The fourth proportional to 199,411.20, 298,713.60 and 124,300.80 is: 186,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.20 : 298,713.60 = 124,300.80 : x
  2. Step 2: Convert to fraction form
    199,411.20/298,713.60 = 124,300.80/x
  3. Step 3: Cross multiply
    199,411.20x = 298,713.60 × 124,300.80
  4. Step 4: Simplify right side
    199,411.20x = 37,130,339,450.88
  5. Step 5: Solve for x
    x = 37,130,339,450.88/199,411.20
  6. Step 6: Final answer
    x = 186,199.87

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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.