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Finding the Fourth Proportional to 78,199.28, 117,299.04 and 19,034.64

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Solution

The fourth proportional to 78,199.28, 117,299.04 and 19,034.64 is: 28,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,199.28 : 117,299.04 = 19,034.64 : x
  2. Step 2: Convert to fraction form
    78,199.28/117,299.04 = 19,034.64/x
  3. Step 3: Cross multiply
    78,199.28x = 117,299.04 × 19,034.64
  4. Step 4: Simplify right side
    78,199.28x = 2,232,744,998.75
  5. Step 5: Solve for x
    x = 2,232,744,998.75/78,199.28
  6. Step 6: Final answer
    x = 28,551.99

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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.