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Finding the Fourth Proportional to 68,658.25, 102,472.61 and 64,174.21

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Solution

The fourth proportional to 68,658.25, 102,472.61 and 64,174.21 is: 95,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658.25 : 102,472.61 = 64,174.21 : x
  2. Step 2: Convert to fraction form
    68,658.25/102,472.61 = 64,174.21/x
  3. Step 3: Cross multiply
    68,658.25x = 102,472.61 × 64,174.21
  4. Step 4: Simplify right side
    68,658.25x = 6,576,098,738.89
  5. Step 5: Solve for x
    x = 6,576,098,738.89/68,658.25
  6. Step 6: Final answer
    x = 95,780.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.