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Finding the Fourth Proportional to 254,730.40, 382,022.70 and 77,194.60

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Solution

The fourth proportional to 254,730.40, 382,022.70 and 77,194.60 is: 115,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,730.40 : 382,022.70 = 77,194.60 : x
  2. Step 2: Convert to fraction form
    254,730.40/382,022.70 = 77,194.60/x
  3. Step 3: Cross multiply
    254,730.40x = 382,022.70 × 77,194.60
  4. Step 4: Simplify right side
    254,730.40x = 29,490,089,517.42
  5. Step 5: Solve for x
    x = 29,490,089,517.42/254,730.40
  6. Step 6: Final answer
    x = 115,769.81

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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.