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Finding the Fourth Proportional to 252,602.80, 378,966.96 and 75,109.54

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Solution

The fourth proportional to 252,602.80, 378,966.96 and 75,109.54 is: 112,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,602.80 : 378,966.96 = 75,109.54 : x
  2. Step 2: Convert to fraction form
    252,602.80/378,966.96 = 75,109.54/x
  3. Step 3: Cross multiply
    252,602.80x = 378,966.96 × 75,109.54
  4. Step 4: Simplify right side
    252,602.80x = 28,464,034,040.80
  5. Step 5: Solve for x
    x = 28,464,034,040.80/252,602.80
  6. Step 6: Final answer
    x = 112,682.97

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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.