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Finding the Fourth Proportional to 252,602.29, 378,966.21 and 75,109.03

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Solution

The fourth proportional to 252,602.29, 378,966.21 and 75,109.03 is: 112,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,602.29 : 378,966.21 = 75,109.03 : x
  2. Step 2: Convert to fraction form
    252,602.29/378,966.21 = 75,109.03/x
  3. Step 3: Cross multiply
    252,602.29x = 378,966.21 × 75,109.03
  4. Step 4: Simplify right side
    252,602.29x = 28,463,784,435.88
  5. Step 5: Solve for x
    x = 28,463,784,435.88/252,602.29
  6. Step 6: Final answer
    x = 112,682.21

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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.