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Finding the Fourth Proportional to 68,314.20, 102,465.54 and 38,638.68

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Solution

The fourth proportional to 68,314.20, 102,465.54 and 38,638.68 is: 57,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.20 : 102,465.54 = 38,638.68 : x
  2. Step 2: Convert to fraction form
    68,314.20/102,465.54 = 38,638.68/x
  3. Step 3: Cross multiply
    68,314.20x = 102,465.54 × 38,638.68
  4. Step 4: Simplify right side
    68,314.20x = 3,959,133,211.09
  5. Step 5: Solve for x
    x = 3,959,133,211.09/68,314.20
  6. Step 6: Final answer
    x = 57,954.76

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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.