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Finding the Fourth Proportional to 53,602.56, 80,404.11 and 20,338.02

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Solution

The fourth proportional to 53,602.56, 80,404.11 and 20,338.02 is: 30,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.56 : 80,404.11 = 20,338.02 : x
  2. Step 2: Convert to fraction form
    53,602.56/80,404.11 = 20,338.02/x
  3. Step 3: Cross multiply
    53,602.56x = 80,404.11 × 20,338.02
  4. Step 4: Simplify right side
    53,602.56x = 1,635,260,397.26
  5. Step 5: Solve for x
    x = 1,635,260,397.26/53,602.56
  6. Step 6: Final answer
    x = 30,507.13

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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.