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Finding the Fourth Proportional to 55,257.60, 82,972.80 and 31,929.60

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Solution

The fourth proportional to 55,257.60, 82,972.80 and 31,929.60 is: 47,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,257.60 : 82,972.80 = 31,929.60 : x
  2. Step 2: Convert to fraction form
    55,257.60/82,972.80 = 31,929.60/x
  3. Step 3: Cross multiply
    55,257.60x = 82,972.80 × 31,929.60
  4. Step 4: Simplify right side
    55,257.60x = 2,649,288,314.88
  5. Step 5: Solve for x
    x = 2,649,288,314.88/55,257.60
  6. Step 6: Final answer
    x = 47,944.32

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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.