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Finding the Fourth Proportional to 70,835.75, 106,278.23 and 31,420.54

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Solution

The fourth proportional to 70,835.75, 106,278.23 and 31,420.54 is: 47,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,835.75 : 106,278.23 = 31,420.54 : x
  2. Step 2: Convert to fraction form
    70,835.75/106,278.23 = 31,420.54/x
  3. Step 3: Cross multiply
    70,835.75x = 106,278.23 × 31,420.54
  4. Step 4: Simplify right side
    70,835.75x = 3,339,319,588.24
  5. Step 5: Solve for x
    x = 3,339,319,588.24/70,835.75
  6. Step 6: Final answer
    x = 47,141.73

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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.