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Finding the Fourth Proportional to 254,120.40, 381,331.80 and 96,364.80

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Solution

The fourth proportional to 254,120.40, 381,331.80 and 96,364.80 is: 144,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,120.40 : 381,331.80 = 96,364.80 : x
  2. Step 2: Convert to fraction form
    254,120.40/381,331.80 = 96,364.80/x
  3. Step 3: Cross multiply
    254,120.40x = 381,331.80 × 96,364.80
  4. Step 4: Simplify right side
    254,120.40x = 36,746,962,640.64
  5. Step 5: Solve for x
    x = 36,746,962,640.64/254,120.40
  6. Step 6: Final answer
    x = 144,604.54

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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.