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Finding the Fourth Proportional to 68,160.76, 102,105 and 54,144.52

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Solution

The fourth proportional to 68,160.76, 102,105 and 54,144.52 is: 81,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,160.76 : 102,105 = 54,144.52 : x
  2. Step 2: Convert to fraction form
    68,160.76/102,105 = 54,144.52/x
  3. Step 3: Cross multiply
    68,160.76x = 102,105 × 54,144.52
  4. Step 4: Simplify right side
    68,160.76x = 5,528,426,214.60
  5. Step 5: Solve for x
    x = 5,528,426,214.60/68,160.76
  6. Step 6: Final answer
    x = 81,108.64

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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.