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Finding the Fourth Proportional to 54,807.60, 82,297.80 and 31,479.60

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Solution

The fourth proportional to 54,807.60, 82,297.80 and 31,479.60 is: 47,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.60 : 82,297.80 = 31,479.60 : x
  2. Step 2: Convert to fraction form
    54,807.60/82,297.80 = 31,479.60/x
  3. Step 3: Cross multiply
    54,807.60x = 82,297.80 × 31,479.60
  4. Step 4: Simplify right side
    54,807.60x = 2,590,701,824.88
  5. Step 5: Solve for x
    x = 2,590,701,824.88/54,807.60
  6. Step 6: Final answer
    x = 47,269.03

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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.