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Finding the Fourth Proportional to 78,137.64, 117,310.14 and 75,441.96

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Solution

The fourth proportional to 78,137.64, 117,310.14 and 75,441.96 is: 113,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.64 : 117,310.14 = 75,441.96 : x
  2. Step 2: Convert to fraction form
    78,137.64/117,310.14 = 75,441.96/x
  3. Step 3: Cross multiply
    78,137.64x = 117,310.14 × 75,441.96
  4. Step 4: Simplify right side
    78,137.64x = 8,850,106,889.47
  5. Step 5: Solve for x
    x = 8,850,106,889.47/78,137.64
  6. Step 6: Final answer
    x = 113,263.04

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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.