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Finding the Fourth Proportional to 68,145.67, 102,234.90 and 28,714.06

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Solution

The fourth proportional to 68,145.67, 102,234.90 and 28,714.06 is: 43,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,145.67 : 102,234.90 = 28,714.06 : x
  2. Step 2: Convert to fraction form
    68,145.67/102,234.90 = 28,714.06/x
  3. Step 3: Cross multiply
    68,145.67x = 102,234.90 × 28,714.06
  4. Step 4: Simplify right side
    68,145.67x = 2,935,579,052.69
  5. Step 5: Solve for x
    x = 2,935,579,052.69/68,145.67
  6. Step 6: Final answer
    x = 43,078.00

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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.