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Finding the Fourth Proportional to 68,176.76, 102,129 and 54,160.52

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Solution

The fourth proportional to 68,176.76, 102,129 and 54,160.52 is: 81,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176.76 : 102,129 = 54,160.52 : x
  2. Step 2: Convert to fraction form
    68,176.76/102,129 = 54,160.52/x
  3. Step 3: Cross multiply
    68,176.76x = 102,129 × 54,160.52
  4. Step 4: Simplify right side
    68,176.76x = 5,531,359,747.08
  5. Step 5: Solve for x
    x = 5,531,359,747.08/68,176.76
  6. Step 6: Final answer
    x = 81,132.63

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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.