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Finding the Fourth Proportional to 68,274.20, 102,564.90 and 47,538.20

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Solution

The fourth proportional to 68,274.20, 102,564.90 and 47,538.20 is: 71,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274.20 : 102,564.90 = 47,538.20 : x
  2. Step 2: Convert to fraction form
    68,274.20/102,564.90 = 47,538.20/x
  3. Step 3: Cross multiply
    68,274.20x = 102,564.90 × 47,538.20
  4. Step 4: Simplify right side
    68,274.20x = 4,875,750,729.18
  5. Step 5: Solve for x
    x = 4,875,750,729.18/68,274.20
  6. Step 6: Final answer
    x = 71,414.25

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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.