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Finding the Fourth Proportional to 57,103.67, 85,663.65 and 17,663.78

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Solution

The fourth proportional to 57,103.67, 85,663.65 and 17,663.78 is: 26,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103.67 : 85,663.65 = 17,663.78 : x
  2. Step 2: Convert to fraction form
    57,103.67/85,663.65 = 17,663.78/x
  3. Step 3: Cross multiply
    57,103.67x = 85,663.65 × 17,663.78
  4. Step 4: Simplify right side
    57,103.67x = 1,513,143,867.60
  5. Step 5: Solve for x
    x = 1,513,143,867.60/57,103.67
  6. Step 6: Final answer
    x = 26,498.19

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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.