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Finding the Fourth Proportional to 71,435.15, 107,145.20 and 29,319.68

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Solution

The fourth proportional to 71,435.15, 107,145.20 and 29,319.68 is: 43,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.15 : 107,145.20 = 29,319.68 : x
  2. Step 2: Convert to fraction form
    71,435.15/107,145.20 = 29,319.68/x
  3. Step 3: Cross multiply
    71,435.15x = 107,145.20 × 29,319.68
  4. Step 4: Simplify right side
    71,435.15x = 3,141,462,977.54
  5. Step 5: Solve for x
    x = 3,141,462,977.54/71,435.15
  6. Step 6: Final answer
    x = 43,976.43

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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.