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Finding the Fourth Proportional to 78,993.30, 109,012.85 and 47,180.55

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Solution

The fourth proportional to 78,993.30, 109,012.85 and 47,180.55 is: 65,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,993.30 : 109,012.85 = 47,180.55 : x
  2. Step 2: Convert to fraction form
    78,993.30/109,012.85 = 47,180.55/x
  3. Step 3: Cross multiply
    78,993.30x = 109,012.85 × 47,180.55
  4. Step 4: Simplify right side
    78,993.30x = 5,143,286,220.07
  5. Step 5: Solve for x
    x = 5,143,286,220.07/78,993.30
  6. Step 6: Final answer
    x = 65,110.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.