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Finding the Fourth Proportional to 254,857.56, 382,276.60 and 77,357.40

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Solution

The fourth proportional to 254,857.56, 382,276.60 and 77,357.40 is: 116,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,857.56 : 382,276.60 = 77,357.40 : x
  2. Step 2: Convert to fraction form
    254,857.56/382,276.60 = 77,357.40/x
  3. Step 3: Cross multiply
    254,857.56x = 382,276.60 × 77,357.40
  4. Step 4: Simplify right side
    254,857.56x = 29,571,923,856.84
  5. Step 5: Solve for x
    x = 29,571,923,856.84/254,857.56
  6. Step 6: Final answer
    x = 116,033.14

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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.