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Finding the Fourth Proportional to 78,414.28, 117,621.24 and 34,035.28

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Solution

The fourth proportional to 78,414.28, 117,621.24 and 34,035.28 is: 51,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.28 : 117,621.24 = 34,035.28 : x
  2. Step 2: Convert to fraction form
    78,414.28/117,621.24 = 34,035.28/x
  3. Step 3: Cross multiply
    78,414.28x = 117,621.24 × 34,035.28
  4. Step 4: Simplify right side
    78,414.28x = 4,003,271,837.35
  5. Step 5: Solve for x
    x = 4,003,271,837.35/78,414.28
  6. Step 6: Final answer
    x = 51,052.84

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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.