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Finding the Fourth Proportional to 68,529.70, 102,794.55 and 65,905.30

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Solution

The fourth proportional to 68,529.70, 102,794.55 and 65,905.30 is: 98,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,529.70 : 102,794.55 = 65,905.30 : x
  2. Step 2: Convert to fraction form
    68,529.70/102,794.55 = 65,905.30/x
  3. Step 3: Cross multiply
    68,529.70x = 102,794.55 × 65,905.30
  4. Step 4: Simplify right side
    68,529.70x = 6,774,705,656.12
  5. Step 5: Solve for x
    x = 6,774,705,656.12/68,529.70
  6. Step 6: Final answer
    x = 98,857.95

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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.