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Finding the Fourth Proportional to 39,228.40, 58,745.40 and 31,452.40

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Solution

The fourth proportional to 39,228.40, 58,745.40 and 31,452.40 is: 47,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228.40 : 58,745.40 = 31,452.40 : x
  2. Step 2: Convert to fraction form
    39,228.40/58,745.40 = 31,452.40/x
  3. Step 3: Cross multiply
    39,228.40x = 58,745.40 × 31,452.40
  4. Step 4: Simplify right side
    39,228.40x = 1,847,683,818.96
  5. Step 5: Solve for x
    x = 1,847,683,818.96/39,228.40
  6. Step 6: Final answer
    x = 47,100.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.