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Finding the Fourth Proportional to 55,773.20, 83,659.80 and 18,837.20

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Solution

The fourth proportional to 55,773.20, 83,659.80 and 18,837.20 is: 28,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,773.20 : 83,659.80 = 18,837.20 : x
  2. Step 2: Convert to fraction form
    55,773.20/83,659.80 = 18,837.20/x
  3. Step 3: Cross multiply
    55,773.20x = 83,659.80 × 18,837.20
  4. Step 4: Simplify right side
    55,773.20x = 1,575,916,384.56
  5. Step 5: Solve for x
    x = 1,575,916,384.56/55,773.20
  6. Step 6: Final answer
    x = 28,255.80

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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.