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Finding the Fourth Proportional to 50,470.65, 75,714.89 and 20,871.90

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Solution

The fourth proportional to 50,470.65, 75,714.89 and 20,871.90 is: 31,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.65 : 75,714.89 = 20,871.90 : x
  2. Step 2: Convert to fraction form
    50,470.65/75,714.89 = 20,871.90/x
  3. Step 3: Cross multiply
    50,470.65x = 75,714.89 × 20,871.90
  4. Step 4: Simplify right side
    50,470.65x = 1,580,313,612.59
  5. Step 5: Solve for x
    x = 1,580,313,612.59/50,470.65
  6. Step 6: Final answer
    x = 31,311.54

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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.