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Finding the Fourth Proportional to 199,371.60, 298,711.80 and 129,214.80

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Solution

The fourth proportional to 199,371.60, 298,711.80 and 129,214.80 is: 193,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,371.60 : 298,711.80 = 129,214.80 : x
  2. Step 2: Convert to fraction form
    199,371.60/298,711.80 = 129,214.80/x
  3. Step 3: Cross multiply
    199,371.60x = 298,711.80 × 129,214.80
  4. Step 4: Simplify right side
    199,371.60x = 38,597,985,494.64
  5. Step 5: Solve for x
    x = 38,597,985,494.64/199,371.60
  6. Step 6: Final answer
    x = 193,598.21

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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.