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Finding the Fourth Proportional to 57,743.70, 86,609.88 and 39,143.22

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Solution

The fourth proportional to 57,743.70, 86,609.88 and 39,143.22 is: 58,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,743.70 : 86,609.88 = 39,143.22 : x
  2. Step 2: Convert to fraction form
    57,743.70/86,609.88 = 39,143.22/x
  3. Step 3: Cross multiply
    57,743.70x = 86,609.88 × 39,143.22
  4. Step 4: Simplify right side
    57,743.70x = 3,390,189,587.01
  5. Step 5: Solve for x
    x = 3,390,189,587.01/57,743.70
  6. Step 6: Final answer
    x = 58,710.99

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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.