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Finding the Fourth Proportional to 67,679.96, 101,519.62 and 45,143

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Solution

The fourth proportional to 67,679.96, 101,519.62 and 45,143 is: 67,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,679.96 : 101,519.62 = 45,143 : x
  2. Step 2: Convert to fraction form
    67,679.96/101,519.62 = 45,143/x
  3. Step 3: Cross multiply
    67,679.96x = 101,519.62 × 45,143
  4. Step 4: Simplify right side
    67,679.96x = 4,582,900,205.66
  5. Step 5: Solve for x
    x = 4,582,900,205.66/67,679.96
  6. Step 6: Final answer
    x = 67,714.29

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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.