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Finding the Fourth Proportional to 254,608.80, 381,864.60 and 77,121.60

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Solution

The fourth proportional to 254,608.80, 381,864.60 and 77,121.60 is: 115,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,608.80 : 381,864.60 = 77,121.60 : x
  2. Step 2: Convert to fraction form
    254,608.80/381,864.60 = 77,121.60/x
  3. Step 3: Cross multiply
    254,608.80x = 381,864.60 × 77,121.60
  4. Step 4: Simplify right side
    254,608.80x = 29,450,008,935.36
  5. Step 5: Solve for x
    x = 29,450,008,935.36/254,608.80
  6. Step 6: Final answer
    x = 115,667.68

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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.