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Finding the Fourth Proportional to 78,546.80, 108,391.34 and 42,736.95

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Solution

The fourth proportional to 78,546.80, 108,391.34 and 42,736.95 is: 58,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,546.80 : 108,391.34 = 42,736.95 : x
  2. Step 2: Convert to fraction form
    78,546.80/108,391.34 = 42,736.95/x
  3. Step 3: Cross multiply
    78,546.80x = 108,391.34 × 42,736.95
  4. Step 4: Simplify right side
    78,546.80x = 4,632,315,278.01
  5. Step 5: Solve for x
    x = 4,632,315,278.01/78,546.80
  6. Step 6: Final answer
    x = 58,975.23

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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.