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Finding the Fourth Proportional to 57,689.72, 86,530.48 and 15,572.20

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Solution

The fourth proportional to 57,689.72, 86,530.48 and 15,572.20 is: 23,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,689.72 : 86,530.48 = 15,572.20 : x
  2. Step 2: Convert to fraction form
    57,689.72/86,530.48 = 15,572.20/x
  3. Step 3: Cross multiply
    57,689.72x = 86,530.48 × 15,572.20
  4. Step 4: Simplify right side
    57,689.72x = 1,347,469,940.66
  5. Step 5: Solve for x
    x = 1,347,469,940.66/57,689.72
  6. Step 6: Final answer
    x = 23,357.19

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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.