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Finding the Fourth Proportional to 71,210.96, 106,815.27 and 29,081.78

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Solution

The fourth proportional to 71,210.96, 106,815.27 and 29,081.78 is: 43,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,210.96 : 106,815.27 = 29,081.78 : x
  2. Step 2: Convert to fraction form
    71,210.96/106,815.27 = 29,081.78/x
  3. Step 3: Cross multiply
    71,210.96x = 106,815.27 × 29,081.78
  4. Step 4: Simplify right side
    71,210.96x = 3,106,378,182.78
  5. Step 5: Solve for x
    x = 3,106,378,182.78/71,210.96
  6. Step 6: Final answer
    x = 43,622.19

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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.