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Finding the Fourth Proportional to 57,575.48, 86,290.62 and 30,855.20

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Solution

The fourth proportional to 57,575.48, 86,290.62 and 30,855.20 is: 46,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,575.48 : 86,290.62 = 30,855.20 : x
  2. Step 2: Convert to fraction form
    57,575.48/86,290.62 = 30,855.20/x
  3. Step 3: Cross multiply
    57,575.48x = 86,290.62 × 30,855.20
  4. Step 4: Simplify right side
    57,575.48x = 2,662,514,338.22
  5. Step 5: Solve for x
    x = 2,662,514,338.22/57,575.48
  6. Step 6: Final answer
    x = 46,243.89

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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.