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Finding the Fourth Proportional to 78,568.84, 117,697.74 and 68,719.24

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Solution

The fourth proportional to 78,568.84, 117,697.74 and 68,719.24 is: 102,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.84 : 117,697.74 = 68,719.24 : x
  2. Step 2: Convert to fraction form
    78,568.84/117,697.74 = 68,719.24/x
  3. Step 3: Cross multiply
    78,568.84x = 117,697.74 × 68,719.24
  4. Step 4: Simplify right side
    78,568.84x = 8,088,099,242.52
  5. Step 5: Solve for x
    x = 8,088,099,242.52/78,568.84
  6. Step 6: Final answer
    x = 102,942.84

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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.