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Finding the Fourth Proportional to 68,474.70, 102,712.05 and 57,977.10

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Solution

The fourth proportional to 68,474.70, 102,712.05 and 57,977.10 is: 86,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,474.70 : 102,712.05 = 57,977.10 : x
  2. Step 2: Convert to fraction form
    68,474.70/102,712.05 = 57,977.10/x
  3. Step 3: Cross multiply
    68,474.70x = 102,712.05 × 57,977.10
  4. Step 4: Simplify right side
    68,474.70x = 5,954,946,794.06
  5. Step 5: Solve for x
    x = 5,954,946,794.06/68,474.70
  6. Step 6: Final answer
    x = 86,965.65

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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.