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Finding the Fourth Proportional to 71,228.32, 106,829.52 and 31,778.08

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Solution

The fourth proportional to 71,228.32, 106,829.52 and 31,778.08 is: 47,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.32 : 106,829.52 = 31,778.08 : x
  2. Step 2: Convert to fraction form
    71,228.32/106,829.52 = 31,778.08/x
  3. Step 3: Cross multiply
    71,228.32x = 106,829.52 × 31,778.08
  4. Step 4: Simplify right side
    71,228.32x = 3,394,837,032.92
  5. Step 5: Solve for x
    x = 3,394,837,032.92/71,228.32
  6. Step 6: Final answer
    x = 47,661.34

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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.