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Finding the Fourth Proportional to 53,818.40, 80,662.80 and 27,509.60

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Solution

The fourth proportional to 53,818.40, 80,662.80 and 27,509.60 is: 41,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,818.40 : 80,662.80 = 27,509.60 : x
  2. Step 2: Convert to fraction form
    53,818.40/80,662.80 = 27,509.60/x
  3. Step 3: Cross multiply
    53,818.40x = 80,662.80 × 27,509.60
  4. Step 4: Simplify right side
    53,818.40x = 2,219,001,362.88
  5. Step 5: Solve for x
    x = 2,219,001,362.88/53,818.40
  6. Step 6: Final answer
    x = 41,231.28

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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.