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Finding the Fourth Proportional to 70,766.37, 106,150.47 and 20,835.11

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Solution

The fourth proportional to 70,766.37, 106,150.47 and 20,835.11 is: 31,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,766.37 : 106,150.47 = 20,835.11 : x
  2. Step 2: Convert to fraction form
    70,766.37/106,150.47 = 20,835.11/x
  3. Step 3: Cross multiply
    70,766.37x = 106,150.47 × 20,835.11
  4. Step 4: Simplify right side
    70,766.37x = 2,211,656,906.25
  5. Step 5: Solve for x
    x = 2,211,656,906.25/70,766.37
  6. Step 6: Final answer
    x = 31,252.94

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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.