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Finding the Fourth Proportional to 85,942.70, 118,598.50 and 47,180.50

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Solution

The fourth proportional to 85,942.70, 118,598.50 and 47,180.50 is: 65,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,942.70 : 118,598.50 = 47,180.50 : x
  2. Step 2: Convert to fraction form
    85,942.70/118,598.50 = 47,180.50/x
  3. Step 3: Cross multiply
    85,942.70x = 118,598.50 × 47,180.50
  4. Step 4: Simplify right side
    85,942.70x = 5,595,536,529.25
  5. Step 5: Solve for x
    x = 5,595,536,529.25/85,942.70
  6. Step 6: Final answer
    x = 65,107.76

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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.