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Finding the Fourth Proportional to 102,059.70, 140,847.20 and 56,738.44

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Solution

The fourth proportional to 102,059.70, 140,847.20 and 56,738.44 is: 78,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,059.70 : 140,847.20 = 56,738.44 : x
  2. Step 2: Convert to fraction form
    102,059.70/140,847.20 = 56,738.44/x
  3. Step 3: Cross multiply
    102,059.70x = 140,847.20 × 56,738.44
  4. Step 4: Simplify right side
    102,059.70x = 7,991,450,351.93
  5. Step 5: Solve for x
    x = 7,991,450,351.93/102,059.70
  6. Step 6: Final answer
    x = 78,301.72

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1.5x scale

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.