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Finding the Fourth Proportional to 57,115.16, 85,672.90 and 33,709.40

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Solution

The fourth proportional to 57,115.16, 85,672.90 and 33,709.40 is: 50,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115.16 : 85,672.90 = 33,709.40 : x
  2. Step 2: Convert to fraction form
    57,115.16/85,672.90 = 33,709.40/x
  3. Step 3: Cross multiply
    57,115.16x = 85,672.90 × 33,709.40
  4. Step 4: Simplify right side
    57,115.16x = 2,887,982,055.26
  5. Step 5: Solve for x
    x = 2,887,982,055.26/57,115.16
  6. Step 6: Final answer
    x = 50,564.19

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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.