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Finding the Fourth Proportional to 57,100, 85,651.08 and 15,548.08

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Solution

The fourth proportional to 57,100, 85,651.08 and 15,548.08 is: 23,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,100 : 85,651.08 = 15,548.08 : x
  2. Step 2: Convert to fraction form
    57,100/85,651.08 = 15,548.08/x
  3. Step 3: Cross multiply
    57,100x = 85,651.08 × 15,548.08
  4. Step 4: Simplify right side
    57,100x = 1,331,709,843.93
  5. Step 5: Solve for x
    x = 1,331,709,843.93/57,100
  6. Step 6: Final answer
    x = 23,322.41

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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.