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Finding the Fourth Proportional to 76,745.70, 105,912.36 and 42,754.23

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Solution

The fourth proportional to 76,745.70, 105,912.36 and 42,754.23 is: 59,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,745.70 : 105,912.36 = 42,754.23 : x
  2. Step 2: Convert to fraction form
    76,745.70/105,912.36 = 42,754.23/x
  3. Step 3: Cross multiply
    76,745.70x = 105,912.36 × 42,754.23
  4. Step 4: Simplify right side
    76,745.70x = 4,528,201,399.28
  5. Step 5: Solve for x
    x = 4,528,201,399.28/76,745.70
  6. Step 6: Final answer
    x = 59,002.67

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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.