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Finding the Fourth Proportional to 254,891.07, 382,311.90 and 77,399.61

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Solution

The fourth proportional to 254,891.07, 382,311.90 and 77,399.61 is: 116,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,891.07 : 382,311.90 = 77,399.61 : x
  2. Step 2: Convert to fraction form
    254,891.07/382,311.90 = 77,399.61/x
  3. Step 3: Cross multiply
    254,891.07x = 382,311.90 × 77,399.61
  4. Step 4: Simplify right side
    254,891.07x = 29,590,791,958.36
  5. Step 5: Solve for x
    x = 29,590,791,958.36/254,891.07
  6. Step 6: Final answer
    x = 116,091.91

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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.