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Finding the Fourth Proportional to 70,879.68, 106,304.92 and 31,411.64

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Solution

The fourth proportional to 70,879.68, 106,304.92 and 31,411.64 is: 47,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,879.68 : 106,304.92 = 31,411.64 : x
  2. Step 2: Convert to fraction form
    70,879.68/106,304.92 = 31,411.64/x
  3. Step 3: Cross multiply
    70,879.68x = 106,304.92 × 31,411.64
  4. Step 4: Simplify right side
    70,879.68x = 3,339,211,877.27
  5. Step 5: Solve for x
    x = 3,339,211,877.27/70,879.68
  6. Step 6: Final answer
    x = 47,110.99

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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.