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Finding the Fourth Proportional to 57,742, 86,615.52 and 18,302.02

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Solution

The fourth proportional to 57,742, 86,615.52 and 18,302.02 is: 27,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,742 : 86,615.52 = 18,302.02 : x
  2. Step 2: Convert to fraction form
    57,742/86,615.52 = 18,302.02/x
  3. Step 3: Cross multiply
    57,742x = 86,615.52 × 18,302.02
  4. Step 4: Simplify right side
    57,742x = 1,585,238,979.35
  5. Step 5: Solve for x
    x = 1,585,238,979.35/57,742
  6. Step 6: Final answer
    x = 27,453.83

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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.