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Finding the Fourth Proportional to 139,914.64, 193,065.96 and 85,439.44

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Solution

The fourth proportional to 139,914.64, 193,065.96 and 85,439.44 is: 117,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,914.64 : 193,065.96 = 85,439.44 : x
  2. Step 2: Convert to fraction form
    139,914.64/193,065.96 = 85,439.44/x
  3. Step 3: Cross multiply
    139,914.64x = 193,065.96 × 85,439.44
  4. Step 4: Simplify right side
    139,914.64x = 16,495,447,505.46
  5. Step 5: Solve for x
    x = 16,495,447,505.46/139,914.64
  6. Step 6: Final answer
    x = 117,896.51

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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.