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Finding the Fourth Proportional to 55,167.60, 82,743.20 and 20,099.08

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Solution

The fourth proportional to 55,167.60, 82,743.20 and 20,099.08 is: 30,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,167.60 : 82,743.20 = 20,099.08 : x
  2. Step 2: Convert to fraction form
    55,167.60/82,743.20 = 20,099.08/x
  3. Step 3: Cross multiply
    55,167.60x = 82,743.20 × 20,099.08
  4. Step 4: Simplify right side
    55,167.60x = 1,663,062,196.26
  5. Step 5: Solve for x
    x = 1,663,062,196.26/55,167.60
  6. Step 6: Final answer
    x = 30,145.63

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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.