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Finding the Fourth Proportional to 67,065.73, 100,614.18 and 19,678.91

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Solution

The fourth proportional to 67,065.73, 100,614.18 and 19,678.91 is: 29,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,065.73 : 100,614.18 = 19,678.91 : x
  2. Step 2: Convert to fraction form
    67,065.73/100,614.18 = 19,678.91/x
  3. Step 3: Cross multiply
    67,065.73x = 100,614.18 × 19,678.91
  4. Step 4: Simplify right side
    67,065.73x = 1,979,977,392.94
  5. Step 5: Solve for x
    x = 1,979,977,392.94/67,065.73
  6. Step 6: Final answer
    x = 29,522.94

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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.