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Finding the Fourth Proportional to 71,835.24, 107,809.02 and 49,803.78

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Solution

The fourth proportional to 71,835.24, 107,809.02 and 49,803.78 is: 74,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835.24 : 107,809.02 = 49,803.78 : x
  2. Step 2: Convert to fraction form
    71,835.24/107,809.02 = 49,803.78/x
  3. Step 3: Cross multiply
    71,835.24x = 107,809.02 × 49,803.78
  4. Step 4: Simplify right side
    71,835.24x = 5,369,296,714.10
  5. Step 5: Solve for x
    x = 5,369,296,714.10/71,835.24
  6. Step 6: Final answer
    x = 74,744.61

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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.