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Finding the Fourth Proportional to 71,246.40, 106,815.60 and 36,211.20

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Solution

The fourth proportional to 71,246.40, 106,815.60 and 36,211.20 is: 54,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,246.40 : 106,815.60 = 36,211.20 : x
  2. Step 2: Convert to fraction form
    71,246.40/106,815.60 = 36,211.20/x
  3. Step 3: Cross multiply
    71,246.40x = 106,815.60 × 36,211.20
  4. Step 4: Simplify right side
    71,246.40x = 3,867,921,054.72
  5. Step 5: Solve for x
    x = 3,867,921,054.72/71,246.40
  6. Step 6: Final answer
    x = 54,289.35

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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.