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Finding the Fourth Proportional to 254,782.77, 382,175.55 and 77,289.96

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Solution

The fourth proportional to 254,782.77, 382,175.55 and 77,289.96 is: 115,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,782.77 : 382,175.55 = 77,289.96 : x
  2. Step 2: Convert to fraction form
    254,782.77/382,175.55 = 77,289.96/x
  3. Step 3: Cross multiply
    254,782.77x = 382,175.55 × 77,289.96
  4. Step 4: Simplify right side
    254,782.77x = 29,538,332,972.48
  5. Step 5: Solve for x
    x = 29,538,332,972.48/254,782.77
  6. Step 6: Final answer
    x = 115,935.36

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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.