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Finding the Fourth Proportional to 78,351.60, 117,546.84 and 36,750

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Solution

The fourth proportional to 78,351.60, 117,546.84 and 36,750 is: 55,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,351.60 : 117,546.84 = 36,750 : x
  2. Step 2: Convert to fraction form
    78,351.60/117,546.84 = 36,750/x
  3. Step 3: Cross multiply
    78,351.60x = 117,546.84 × 36,750
  4. Step 4: Simplify right side
    78,351.60x = 4,319,846,370
  5. Step 5: Solve for x
    x = 4,319,846,370/78,351.60
  6. Step 6: Final answer
    x = 55,134.12

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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.