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Finding the Fourth Proportional to 254,053.26, 381,129.30 and 76,551.48

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Solution

The fourth proportional to 254,053.26, 381,129.30 and 76,551.48 is: 114,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,053.26 : 381,129.30 = 76,551.48 : x
  2. Step 2: Convert to fraction form
    254,053.26/381,129.30 = 76,551.48/x
  3. Step 3: Cross multiply
    254,053.26x = 381,129.30 × 76,551.48
  4. Step 4: Simplify right side
    254,053.26x = 29,176,011,986.36
  5. Step 5: Solve for x
    x = 29,176,011,986.36/254,053.26
  6. Step 6: Final answer
    x = 114,842.11

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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.