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Finding the Fourth Proportional to 81,714.32, 122,510.72 and 34,343.32

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Solution

The fourth proportional to 81,714.32, 122,510.72 and 34,343.32 is: 51,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.32 : 122,510.72 = 34,343.32 : x
  2. Step 2: Convert to fraction form
    81,714.32/122,510.72 = 34,343.32/x
  3. Step 3: Cross multiply
    81,714.32x = 122,510.72 × 34,343.32
  4. Step 4: Simplify right side
    81,714.32x = 4,207,424,860.39
  5. Step 5: Solve for x
    x = 4,207,424,860.39/81,714.32
  6. Step 6: Final answer
    x = 51,489.44

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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.