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Finding the Fourth Proportional to 78,313.72, 117,469.52 and 19,149.90

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Solution

The fourth proportional to 78,313.72, 117,469.52 and 19,149.90 is: 28,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,313.72 : 117,469.52 = 19,149.90 : x
  2. Step 2: Convert to fraction form
    78,313.72/117,469.52 = 19,149.90/x
  3. Step 3: Cross multiply
    78,313.72x = 117,469.52 × 19,149.90
  4. Step 4: Simplify right side
    78,313.72x = 2,249,529,561.05
  5. Step 5: Solve for x
    x = 2,249,529,561.05/78,313.72
  6. Step 6: Final answer
    x = 28,724.59

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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.