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Finding the Fourth Proportional to 252,575.57, 378,925.73 and 75,081.83

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Solution

The fourth proportional to 252,575.57, 378,925.73 and 75,081.83 is: 112,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,575.57 : 378,925.73 = 75,081.83 : x
  2. Step 2: Convert to fraction form
    252,575.57/378,925.73 = 75,081.83/x
  3. Step 3: Cross multiply
    252,575.57x = 378,925.73 × 75,081.83
  4. Step 4: Simplify right side
    252,575.57x = 28,450,434,972.45
  5. Step 5: Solve for x
    x = 28,450,434,972.45/252,575.57
  6. Step 6: Final answer
    x = 112,641.28

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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.