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Finding the Fourth Proportional to 68,503.31, 102,658.67 and 51,625.14

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Solution

The fourth proportional to 68,503.31, 102,658.67 and 51,625.14 is: 77,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,503.31 : 102,658.67 = 51,625.14 : x
  2. Step 2: Convert to fraction form
    68,503.31/102,658.67 = 51,625.14/x
  3. Step 3: Cross multiply
    68,503.31x = 102,658.67 × 51,625.14
  4. Step 4: Simplify right side
    68,503.31x = 5,299,768,210.96
  5. Step 5: Solve for x
    x = 5,299,768,210.96/68,503.31
  6. Step 6: Final answer
    x = 77,365.14

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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.