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Finding the Fourth Proportional to 71,138.40, 106,567.20 and 36,103.20

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Solution

The fourth proportional to 71,138.40, 106,567.20 and 36,103.20 is: 54,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.40 : 106,567.20 = 36,103.20 : x
  2. Step 2: Convert to fraction form
    71,138.40/106,567.20 = 36,103.20/x
  3. Step 3: Cross multiply
    71,138.40x = 106,567.20 × 36,103.20
  4. Step 4: Simplify right side
    71,138.40x = 3,847,416,935.04
  5. Step 5: Solve for x
    x = 3,847,416,935.04/71,138.40
  6. Step 6: Final answer
    x = 54,083.55

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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.