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Finding the Fourth Proportional to 71,252.87, 106,863.50 and 31,784.81

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Solution

The fourth proportional to 71,252.87, 106,863.50 and 31,784.81 is: 47,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,252.87 : 106,863.50 = 31,784.81 : x
  2. Step 2: Convert to fraction form
    71,252.87/106,863.50 = 31,784.81/x
  3. Step 3: Cross multiply
    71,252.87x = 106,863.50 × 31,784.81
  4. Step 4: Simplify right side
    71,252.87x = 3,396,635,588.58
  5. Step 5: Solve for x
    x = 3,396,635,588.58/71,252.87
  6. Step 6: Final answer
    x = 47,670.16

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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.