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Finding the Fourth Proportional to 101,942.57, 140,680.74 and 57,230.57

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Solution

The fourth proportional to 101,942.57, 140,680.74 and 57,230.57 is: 78,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,942.57 : 140,680.74 = 57,230.57 : x
  2. Step 2: Convert to fraction form
    101,942.57/140,680.74 = 57,230.57/x
  3. Step 3: Cross multiply
    101,942.57x = 140,680.74 × 57,230.57
  4. Step 4: Simplify right side
    101,942.57x = 8,051,238,234.82
  5. Step 5: Solve for x
    x = 8,051,238,234.82/101,942.57
  6. Step 6: Final answer
    x = 78,978.18

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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.