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Finding the Fourth Proportional to 78,349.19, 117,393 and 75,433.64

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Solution

The fourth proportional to 78,349.19, 117,393 and 75,433.64 is: 113,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349.19 : 117,393 = 75,433.64 : x
  2. Step 2: Convert to fraction form
    78,349.19/117,393 = 75,433.64/x
  3. Step 3: Cross multiply
    78,349.19x = 117,393 × 75,433.64
  4. Step 4: Simplify right side
    78,349.19x = 8,855,380,713.56
  5. Step 5: Solve for x
    x = 8,855,380,713.56/78,349.19
  6. Step 6: Final answer
    x = 113,024.54

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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.