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Finding the Fourth Proportional to 254,757.60, 382,039.20 and 77,205.60

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Solution

The fourth proportional to 254,757.60, 382,039.20 and 77,205.60 is: 115,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,757.60 : 382,039.20 = 77,205.60 : x
  2. Step 2: Convert to fraction form
    254,757.60/382,039.20 = 77,205.60/x
  3. Step 3: Cross multiply
    254,757.60x = 382,039.20 × 77,205.60
  4. Step 4: Simplify right side
    254,757.60x = 29,495,565,659.52
  5. Step 5: Solve for x
    x = 29,495,565,659.52/254,757.60
  6. Step 6: Final answer
    x = 115,778.94

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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.