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Finding the Fourth Proportional to 55,109.70, 82,664.55 and 31,716.90

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Solution

The fourth proportional to 55,109.70, 82,664.55 and 31,716.90 is: 47,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,109.70 : 82,664.55 = 31,716.90 : x
  2. Step 2: Convert to fraction form
    55,109.70/82,664.55 = 31,716.90/x
  3. Step 3: Cross multiply
    55,109.70x = 82,664.55 × 31,716.90
  4. Step 4: Simplify right side
    55,109.70x = 2,621,863,265.90
  5. Step 5: Solve for x
    x = 2,621,863,265.90/55,109.70
  6. Step 6: Final answer
    x = 47,575.35

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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.