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Finding the Fourth Proportional to 252,574.63, 378,924.31 and 75,080.88

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Solution

The fourth proportional to 252,574.63, 378,924.31 and 75,080.88 is: 112,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,574.63 : 378,924.31 = 75,080.88 : x
  2. Step 2: Convert to fraction form
    252,574.63/378,924.31 = 75,080.88/x
  3. Step 3: Cross multiply
    252,574.63x = 378,924.31 × 75,080.88
  4. Step 4: Simplify right side
    252,574.63x = 28,449,970,742.04
  5. Step 5: Solve for x
    x = 28,449,970,742.04/252,574.63
  6. Step 6: Final answer
    x = 112,639.86

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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.