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Finding the Fourth Proportional to 57,101.67, 85,660.65 and 17,661.78

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Solution

The fourth proportional to 57,101.67, 85,660.65 and 17,661.78 is: 26,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101.67 : 85,660.65 = 17,661.78 : x
  2. Step 2: Convert to fraction form
    57,101.67/85,660.65 = 17,661.78/x
  3. Step 3: Cross multiply
    57,101.67x = 85,660.65 × 17,661.78
  4. Step 4: Simplify right side
    57,101.67x = 1,512,919,554.96
  5. Step 5: Solve for x
    x = 1,512,919,554.96/57,101.67
  6. Step 6: Final answer
    x = 26,495.19

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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.