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Finding the Fourth Proportional to 55,314.60, 82,871.10 and 31,871.40

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Solution

The fourth proportional to 55,314.60, 82,871.10 and 31,871.40 is: 47,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314.60 : 82,871.10 = 31,871.40 : x
  2. Step 2: Convert to fraction form
    55,314.60/82,871.10 = 31,871.40/x
  3. Step 3: Cross multiply
    55,314.60x = 82,871.10 × 31,871.40
  4. Step 4: Simplify right side
    55,314.60x = 2,641,217,976.54
  5. Step 5: Solve for x
    x = 2,641,217,976.54/55,314.60
  6. Step 6: Final answer
    x = 47,749.02

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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.