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Finding the Fourth Proportional to 80,193.40, 120,256.98 and 30,265

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Solution

The fourth proportional to 80,193.40, 120,256.98 and 30,265 is: 45,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,193.40 : 120,256.98 = 30,265 : x
  2. Step 2: Convert to fraction form
    80,193.40/120,256.98 = 30,265/x
  3. Step 3: Cross multiply
    80,193.40x = 120,256.98 × 30,265
  4. Step 4: Simplify right side
    80,193.40x = 3,639,577,499.70
  5. Step 5: Solve for x
    x = 3,639,577,499.70/80,193.40
  6. Step 6: Final answer
    x = 45,385.00

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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.