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Finding the Fourth Proportional to 68,092.38, 102,045.42 and 51,438.78

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Solution

The fourth proportional to 68,092.38, 102,045.42 and 51,438.78 is: 77,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092.38 : 102,045.42 = 51,438.78 : x
  2. Step 2: Convert to fraction form
    68,092.38/102,045.42 = 51,438.78/x
  3. Step 3: Cross multiply
    68,092.38x = 102,045.42 × 51,438.78
  4. Step 4: Simplify right side
    68,092.38x = 5,249,091,909.39
  5. Step 5: Solve for x
    x = 5,249,091,909.39/68,092.38
  6. Step 6: Final answer
    x = 77,087.80

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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.